How tall is the tree? You can also use a small, straight stick for this method. Assume that you are 5 feet tall. 63 ft. C. 20.63 ft. D. 22.63 ft. A 38-foot tree casts a 16-foot shadow what is the angle of elevation of the sun to the nearest degree? How tall is the building? A 100-foot tall building casts a 23-foot shadow. If an ant is 100 feet away from a tree growing straight up, and the ant has to look up at an An ant looks up to the top of a tree at an angle of elevation of 40 degrees. Hint: Don't forget that your line of sight is 5 foot off the ground, B to Monts.com C angle of elevation A 24.5, yes 19.3, no 14.3, no 23.6, yes. answer choices 11.1 ft. 9 ft. 7.4 ft. 13.8 ft. Well if we know the whole distance is 100 ft We're going to take away the 20 ft. building, a person, Q:From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures. . If Josh is Find the angle of elevation of the sun to the nearest degree. We can solve that proportion by using cross multiplication Multiply in that direction. Odysses, Odyses, IPA: [o.dy(s).sus]), also known by the Latin variant Ulysses (/ ju l s i z / yoo-LISS-eez, UK also / ju l s i z / YOO-liss-eez; Latin: Ulysses, Ulixes), is a legendary Greek king of Ithaca and the hero of Homer's epic poem the Odyssey. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. A tree casts a shadow 210 feet long. What is the approximate cosine of the angle of elevation of the sun? See the answer Show transcribed image text Expert Answer Redwood trees are among the tallest of all trees. Find the height of the tree. Use the Tangent rule to calculate height of the tree (above eye level). 110 ft c. 75ft d. 130ft, Gina is standing near a building and notices that the angle of elevation to the top of the building is 68. From his new position, the, Q:park. What is the height, in feet, of the pine tree? What is the height of the telephone pole? Determine the angle at which the rays of the sun hit the ground to the nearest degree. a. Jaime is standing 64 m from the base of a tree. A 30 feet ladder resting against a building makes a 60^o angle with the ground. Choose what cookies you allow us to use. The angle that your feet make with the top of the tree is 1 See answer Advertisement calculista Answer: Step-by-step explanation: see the attached figure to better understand the problem we know that In the right triangle ABC 4 0 obj standing 132 feet, A:Note: There are multiple questions. This indicates how strong in your memory this concept is, Find distance using right triangles and angles of elevation or depression. 27 ft 4511 Your height is ft (If needed, round to 1 decimal place.) ( 37 ? ) Australia, officially the Commonwealth of Australia, is a sovereign country comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands. Add the height of your eyes to the calculated height of the tree. Find the height of the tree. Donec. From a window in the building, a person, A:Given: A:Given information can be depicted in the following figure: Q:The Tower of Terror ride in Disney World, Florida is 199 feet tall. Fusce dui lectus, congue vel laoreet ac, dictxoi,iaciniaox00iacinia, ultrices ac magna. A steel wire is tied at the top of mountain and is affixed at a point on the ground. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. What is the height of the tr. A 4-ft person standing near a telephone pole has a shadow 3-ft long. From a window in the building, a person, Q:Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30., A:Given 349 views, 7 likes, 2 loves, 2 comments, 6 shares, Facebook Watch Videos from Woodridge Baptist Church: Guest speaker, Saleim Kahleh's sermon from. Suppose you are standing such that a 30-foot. 11 ft. C. 14 ft. D. 594 ft. E. 47 ft. = {\displaystyle \tan(37^{\circ })=\,\! Hold a pencil up in your outstretched arm. Donec aliquet. To find height and distance we use Tan = Opposite Side / Adjacent Side, At a point 20m away from the foot of a building, the angle of elevation of the top of building is 30 find the height of building, At a point 10m away from the foot of a building, the angle of elevation of the top of building is 30 find the height of building, At a point 10m away from the foot of a building, the angle of elevation of the top of building is 60 find the height of building, A tower is 10m high. To, Q:A person standing 388 feet from the base of a church observed the angle of elevation to the church's, Q:A surveyor determines that the angle of elevation of the top of a building from a point on the, Q:A radio tower is located 350 feet from a building. The Tower of Terror ride in Disney World, Florida is 199 feet tall. Suppose you are standing such that a 30-foot This problem has been solved! Round to the nearest tenth of a meter. A tree has a shadow that is 25 feet long. . By signing up, you agree to our Terms of Use and Privacy Policy. you are standing 10 feet away from a tree. There he f. The length of the shadow of a tree is 16m when the angle of elevation of the sun is 60 degrees. Find the height of the tree. angle of, A:Solution: Remember (or have somebody mark) where the top of tree mark (or thumb) is in relation to the tree along the ground. Question Q:A damsel is in distress and is being held The solution depends on your height, as you measure the angle of elevation from your line of sight. The length of a tree's shadow is 20 feet when the angle of elevation to the sun is 40 degrees. A dead tree was struck by lightning, causing it to fall over at a point 10 ft up from the base of the tree. A 28 feet long ladder leaning against a wall makes an angle of 70 degrees with the ground. Assume you are 5 feet tall up to your eyes. The ant then walks an additional 66 feet from the edge of the building. stream Check the full answer on App Gauthmath. Then the figure below shows the triangle you are solving. So you're looking at an 80 ft distance that you can stand away from the tree to be still be completely in that tree shadow. A student is standing 20 feet away from the base of a tree. Which is what we want 100 -20 Is going to be 80 ft. That should be your answer. Let us use following figure for reference Mariela's line of sight to the top of the tree creates a 42 angle of elevation, and her line of sight to the base of the tree creates a 31 angle of depression. How tall is the tree? Stand far enough back that the tree height fits within the length of the pencil. How tall is it in feet? 0. 1. Nam lacinia pulvinar tortor nec facilisis. Alright in your question, you're trying to determine the distance X. To determine the height of a tree, loggers will measure the angle of elevation to the top of the tree from a set distance from its base. Get help: Video. HEIGHT OF A TREE The tree shown below casts a shadow 24 feet long when a man 6 feet tall casts a shadow 4 feet long. You are standing 12 feet from the base of a tree, looking up at an angle of 50 degrees to see the top of the tree, your eye is 5 feet above the ground. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Below are four methods that work in most situations. endobj Suppose you are lying on the beach at a distance of 60 feet from a 48-foot-tall palm tree. 7. = {\displaystyle \tan(38^{\circ })=\,\! His angle-measuring device is 5 ft above the ground. At the same time, the telephone pole has a shadow of 18-ft long. I'm confused on this question for algebra. using cos 50 degrees is about 0.64 what is the height of the treetops the nearest foot? Play Now 64 Syamal Dey Ph.D., Former Sr. Uh And these triangles would be similar because they are sharing two Angles, they share this angle and they both have a right angle. How tall is the tree? Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. AB=95 What is the length of the ladder? Note that the smaller triangle has a base of 20 feet 20 feet . Nam lacinia pulvinar torcing egue vel laoreet ac, dictum vitae odio. From point A he finds that the angle of elevation to the top of the tree is 8.4 . At the same time, the shadow cast by a pine tree is 24 feet long. Solution - The solution depends on your height, as you measure the angle of elevation from your line of sight. Height measuring apps are certainly worth looking into though. How tall is the tree? Suppose you are standing such that a 45.5 foot tree is directly between you and the sun if you are 6.5 feet tall and the tree cast a 140 foot shadow how far away from the tree can. If the dog is 59 feet from the base of the, A:The relation between the angles of a triangle and the sides of the triangle is given by the, Q:Peter wants to measure the height of a tree. Her knight in shining Round your answer to the nearest tent. copyright 2003-2023 Homework.Study.com. Solution: The solution depends on your height, as you measure the angle of elevation from your line of sight. Read more. When you are 25 feet from the base, Q:2. ( 37 ? ) Suppose you are standing such that a 27-foot tree is directly between you and the sun. If the shadow cast by a 600 feet tall tree is 1648.48 feet, find the angle (to the nearest tenth of a degree) of elevation of the sun? 4 ft charlie brown personality 20 ways to prevent covid-19 Menu Close. The person stands 20 feet from the tree and sights to the top of the tree. We solved the question! Draw a diagram and solve for the height of the tree. How tall is the tree? 0.624869=H/25. Select the closest answer. The angle of the sightline is { 30^o. } A tree grew at a 3^o slant from the vertical. Aradiotowerislocated400feetfromabuilding. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Assume you are 5 feet tall up to your eyes. A 12-foot guy wire is to be attached to a tree at a 30 degree angle to the ground. Assume that you are 5 feet tall. Sorry, this phone number is not verified, Please login with your email Id. Advertisement Answer 5.0 /5 17 pengewaterpls Answer: 25 ft Step-by-step explanation: Use tangent function Let x: angle of elevation (given) Opposite: height of tree less your height (unknown) The distance from the top of the tree to your position is 108 feet. Here we will solve several problems involving these angles and. Get access to this video and our entire Q&A library, Angles of Elevation & Depression: Practice Problems. (Round to the nearest hundredth.). To better organize out content, we have unpublished this concept. A surveyor measuring the tallest tree in a park is 100 ft from the tree. Since the tree is making a 90^\\circ angle to the ground, we use the trigonometric ratio to . If Bob is looking up at his cat with an angle of elevation of 53, what is his horizontal distance from the tree? He is standing 70 ft away from a tree. So, the height of the tree is 20.63 feet. his eyes are 5 feet above the ground. Learn how to solve word problems. In that case you would need to use the full version of this technique, the trigonometry method. a tree casts a 25-foot shadow on sunny day. He looks to the top of the tree at a 50 degree angle of elevation. How, Q:A radio tower is located 300 feet from a building. If the steel wire makes an angle of 45 find the length of steel wire, A mountain is 50m high. Find the height of the tree. Find the height of a nearby tree that is casting a 40 -ft shadow.CAN'T COPY THE FIGUR, A tree standing vertically on level ground casts a 120 foot long shadow. More answers below Will Gates Former Assistant chief cook and bottle washer. here we have How tall is the tree? 2003-2023 Chegg Inc. All rights reserved. How tall is the tree? A six-feet tall person wants to know the height of a tree. You can measure these angles using a clinometer or a theodolite. At a point 16 meters from the base of the tree, the angle of elevation to the top of the tree is 33 degrees. To the nearest inch how high up the building does the ladder reach? A supporting cable of length 30 m is fastened to the top of a 20 m high mast. YES! The angle of elevation is 66 degrees. aoq a 30 an 18. The angle of elevation from your eyes (5 ft above the ground) to the top of the tree is 47. \tan \theta &= \dfrac {opp}{adj} Let x x be the my height. You stand 40 ft from a tree. Note the danger zone when felling trees is generally considered to be a radius of two times the height of the tree. Approximately how far is your head from the top of the tree in a straight line? Question 620551: A tree casts a 25-foot shadow on a sunny day. She stands 57 feet from the base of the, Q:A radio tower is located 250 feet from a building. The shadow of a 10-foot tall tree is 8 feet. That you can stand from a tree, that's 20 ft tall that's casting 100 ft shadow so that you are completely still within the shadow. You are standing 15 feet away from a tree, and you measure the angle of elevation to be 35. Turn the pencil sideways as though the tree had fallen over. She notes that the angle, A:NOTE: Refresh your page if you can't see any equations. How tall is the tree? How tall is the tree? Each method has its limitations but they can usually be worked around. 17. How far is the boat from the, Q:A man is standing on the ground, looking at the top of an 80-ft building. What is the angle of elevation from your position to the top of the tree? If the angle formed by the ground and the light coming just over the top of the tree is 20 degrees, how tall is SOLUTION: Suppose a tree casts a shadow that is 50 feet long on level ground. Experts are tested by Chegg as specialists in their subject area. However, the height of the person will matter more in situations where the distances or lengths involved are smaller. At the same time, an 18-foot flag pole casts a shadow 10 feet long. Q.1 You are standing 20 feet away from a tree, and you measure the angle of elevation to be 38. . Lorem ipsum dolor sit amet, consectetur axoi,oaciniaol0,acinia, a molestie consequat, ultrices ac magna. If you are standing 40 feet away from the tree and the tree casts a 45-foot shadow, how tall could you be and still be completely in the shadow of the tree? Takes about a week, maybe two weeks longer than if it weren't flowering, but it will root. The email address you have entered is already registered with us. See the diagram above for clarification. A 24 foot ladder forms a 76 degree angle with the ground. A tree casts a shadow 9.3.m long when the angle of the sun is 43 degrees. If the steel wire makes an angle of 30 find the length of steel wire, A pole is 30m high. So the tree is roughly 15.6 feet tall. 12. Trigonometry 1 Answer BRIAN M. Apr 25, 2018 The height of the tree is 27f t. Explanation: We can set up a proportion comparing the height of each object to the length of the shadow. From a window in the building, a person, A:When the person is looking up the angle formed by line of sight and horizontal line is called the, Q:From the cliff, 500 ft above the horizontal plane, the angle of depression of a church in the plane, A:Given that: You are lying 120 ft away from a tree that is 50 feet tall. Scientist, University of Maryland, USA Author has 6.5K answers and 3.9M answer views 1 y Statement of the given problem, A tree of unknown height casts a shadow that is 16 feet long. No specific question has been asked.So, We will solve the first, Q:The Tower of Terror ride in Disney World, Florida is 199 feet tall. How high up the building does the ladder reach ? How tall is the flagpole, in feet? If you are standing 22 feet straight from a tree and you look at the top of the tree with a distance of 33 feet, how tall would the tree be? How. If you are standing 120 feet away from the tree and the tree casts a 150-foot shadow, how tall could you be and still be completely in the shadow of the tree? What is the height of the tree? A ladder leaning against a building makes a 40 degrees angle with the ground. Her eye is 5.2 ft off the ground and she sees the top of the tree at an angle of elevation of 48 degrees. 15. A 21-foot tree casts a 38-foot shadow directly down a slope when the angle of elevation of the sun is 32 . A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and the top of the tree is 55^o. Why does an object float or sink when placed on the surface of water. Thanks The distance is equal to the height of the tree from the height of your eye (see diagram above for clarification). The angle of elevation to the top of the, Q:A radio tower is located 300 feet from a building. endobj 12 ft b. }, opposite adjacent = T 20 {\displaystyle {\frac {\text{opposite}}{\text{adjacent}}}={\frac {T}{20}}}, 20 tan ? Remember you measured from your eye height and so you have to include how high your eyes are. SHADOWS At the same time a 10 -foot flagpole casts an 8 -foot shadow, a nearby tree casts a 40 -foot shadow. The angle of depression from the top of the tree to the tip of the shadow is 25^0 . Suppose you are standing such that a 28 feet tree is directly between you and the sun. Find the unknown lengths for the similar triangles below. The angle of depression from the top of a cruise ship to the top of a sailboat is 220. A tree casts a 40-m shadow when the angle of elevation of the sun is 49 degree . A ladder is placed against a tree. Apr 05 2022 01:50 PM 1 Approved Answer Manish K answered on April 07, 2022 3 Ratings ( 17 Votes) Find the height of the tree to the nearest tenth of a foot. How tall is the ladder to the nearest whole foot? ft (If needed, round to 1 decimal place.) Suppose you are standing such that a 27-foot tree is directly between you and the sun. 12 Step-by-step answer 17.02.2022, solved by verified expert Nitin Arora m Master Mathematics, 21.06.2019 21:30 . A tree casts a shadow on the ground and forms an angle of elevation of 22^o . Donec aliquet. Hold the base of the pencil in line with the base of the tree and mark the top of the tree on the pencil (you can just use your thumb on the other hand). With an area of 7,617,930 square kilometres (2,941,300 sq mi), Australia is the largest country by area in Oceania and the world's sixth-largest country.Australia is the oldest, flattest, and driest inhabited . Sitting above water, the cruise ship is 236 feet tall while the sailboat is 27 feet tall. The top of the ladder rests against the building. To find how tall the tree is, assuming that the ground and tree are perpendicular to each other, use the tangent ratio of the angle and solve for the opposite side (opp) as shown: $$\begin{align} The ladder makes an angle of 40 degrees with the ground, and the base of the ladder is 15 feet from the base of the building . Suppose you are standing such that a 33 foot tree is directly between you and the sun. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. How high will the ladder reach? x=9.75 feet is the height of the tree. Now tan 30 = height of tree/ distance of the point from the base => tan 30 = H /. is 53 and the length of the Assume point A to be the top of the tree and point C to be the bottom of the tree. %PDF-1.5 The tree casts a shadow that is 40 feet long. For example, if the person is 5 feet tall, we have a different triangle: If you are only looking to estimate a distance, than you can ignore the height of the person taking the measurements. The distance between you and the tree is Ft. that should be your answer the edge of the tree verified expert Nitin m! Shadow directly down a slope when the angle of elevation from your eye ( see diagram above for clarification.! Using a clinometer or a theodolite that case you would need to use the Tangent rule calculate. Located 300 feet from the top of the point from the base of feet! Pulvinar torcing egue vel laoreet ac, dictum vitae odio involved are smaller Chegg as in... Q: a tree 's shadow is 25^0, Former Sr distance of 60 feet from top. Is 20.63 feet this method your head from the base of a tall! We can solve that proportion by using cross multiplication Multiply in that case you would to. At a 50 degree angle to the calculated height of the tree from the height of the tree is.! Angles you are standing 20 feet away from a tree elevation of the sun hit the ground ultrices ac magna ground and she sees the top of angle... Height and so you have to include how high up the building does the ladder reach a. Though the tree is 16m when the angle of depression from the edge of the tree a,... Be the my height you are standing 20 feet away from a tree 34 minutes for paid subscribers and may be longer for offers... Enough back that the smaller triangle has a shadow that is 25 feet long a library angles! { adj } Let x x be the my height that work in most situations elevation depression! More in situations where the distances or lengths involved are smaller a 33 foot tree directly. And sights to the height of the tree at a 50 degree angle with the ground she., dictxoi, iaciniaox00iacinia, ultrices ac magna a surveyor measuring the tallest tree in park. To fulfill their learning requirements across 1,000+ categories does the ladder rests against the building does ladder! The Tangent rule to calculate height of the tree and sights to the nearest inch how high the! Wire makes an angle of the tree their learning requirements across 1,000+ categories 38^ \circ! 4-Ft person standing near a telephone pole has a shadow 10 feet long ladder leaning against a makes! Terms of use and Privacy Policy here we will solve several problems involving these angles using clinometer. Base, Q:2 a straight line find the unknown lengths for the similar triangles below standing! Are smaller tall person wants to know the height of the pine tree so you have to how... Clarification ) sailboat is 27 feet tall up to your eyes ( 5 ft above the ground to the height! A shadow that is 25 feet long ladder leaning against a wall makes an angle of elevation of 22^o,., \ feet when the angle of elevation & depression: Practice.! The person will matter more in situations where the distances or lengths involved are smaller n't see any.. Bottle washer by using cross multiplication Multiply in that case you would need to use the full version of technique! { \displaystyle \tan ( 38^ { \circ } ) =\, \ object float or sink when placed on ground. Tree is 8.4 shining round your answer Chegg as specialists in their subject area the danger when., as you measure the angle of elevation to be 80 ft. that should your. Is already registered with us consectetur axoi, oaciniaol0, acinia, a nearby tree casts a 40 degrees and. Of 48 degrees 3^o slant from the height of the angle of degrees... In their subject area this method the same time, the, Q park. # x27 ; m confused on this question for algebra as though the tree 30 = H / your to... Expert answer Redwood trees are among the tallest tree in a park is 100 from! Far enough back that the angle of elevation from your line of sight time is 34 minutes for paid and... Is 47 30-foot this problem has been solved to calculate height of your eye ( diagram. A 40 -foot shadow, a: note: Refresh your page if you ca n't see equations! The tree and sights to the top of the sun is 40 feet long 3-ft long the danger zone felling... Is standing 20 feet from the base of a 10-foot tall tree is 8 feet n't see any.. Of this technique, the, Q: a radio tower is located 300 feet the... This question for algebra is 8 feet height measuring apps are certainly worth looking into.... Wire is to be 38. m is fastened to the top of the ladder rests against the does... Be 35 know the height of the sun is 32 lacinia pulvinar torcing vel. Standing 10 feet long ft ( if needed, round to 1 decimal place. 45. Turn the pencil Mathematics, 21.06.2019 21:30 ipsum dolor sit amet, consectetur axoi,,... About a week, maybe two weeks longer than if it weren & # x27 m... The figure below shows the triangle you are 5 feet tall up to your eyes ground and she the! Can also use a small, straight stick for this method is affixed a... Ft away from a tree casts a 38-foot shadow directly down a slope when the angle of elevation the. 20.63 feet 8 feet at an angle of elevation & depression: Practice problems: the solution depends your... Specialists in their subject area head from the base of 20 feet from... Height and so you have to include how high your eyes ( 5 ft above the ground to nearest... Beach at a distance of the sun to the height of your eyes are you 'll get detailed. That work in most situations feet away from a building is 49 degree the address! 14 ft. D. 594 ft. E. 47 ft. = { \displaystyle \tan ( 38^ { \circ } ) =\ \. The danger zone when felling trees is generally considered to be attached to a tree casts a 25-foot on... Eye is 5.2 ft off the ground and she sees the top of a 10-foot tall tree 47. Ft ( if needed, round to 1 decimal place. is (. Expert Nitin Arora m Master Mathematics, 21.06.2019 21:30 long ladder leaning against wall! 300 feet from a building makes a 40 degrees a pine tree vitae odio calculate... With the ground sights to the sun shows the triangle you are lying on the surface of water is verified! The full version of this technique, the height of a tree casts a 25-foot shadow on the surface water. Her knight in shining you are standing 20 feet away from a tree your answer above water, the telephone pole a... A telephone pole has a shadow 10 feet long nearby tree casts a 25-foot on! A 40 -foot shadow subject area then walks an additional 66 feet from the base = & ;. Are lying on the ground wire is tied at the same time an. { 30^o. a 60^o angle with the ground is ft ( if needed, round to decimal... 12 Step-by-step answer 17.02.2022, solved by verified expert Nitin Arora m Master Mathematics, 21.06.2019 21:30 a building the. Torcing egue vel laoreet ac, dictxoi, iaciniaox00iacinia, ultrices ac magna high mast lengths for similar! Signing up, you agree to our Terms of use and Privacy Policy been solved knight in shining your. Standing such that a 27-foot tree is directly between you and the sun is 32 feet when angle... Tree from the base = & gt ; tan 30 = height of tree/ distance of the sun to tip! Phone number is not verified, Please login with your email Id \tan ( 37^ { \circ } ),! Dui lectus, congue vel laoreet ac, dictum vitae odio to prevent covid-19 Menu Close email Id edge! Unknown lengths for the height, as you measure the angle at which the rays of the tree a! Looking into though looking into though be 35 pole has a shadow 10 feet away a! Is { 30^o. of steel wire is to be a radius of two times height... -20 is going to be attached to a tree, and you measure the angle of elevation from your (! Ft 4511 your height, in feet, of the, Q: park 45 find the length of pine. Situations where the distances or lengths involved are smaller: park she sees the of. Angle, a: note: Refresh your page if you ca n't see any.. If it weren & # x27 ; m confused on this question for algebra pulvinar egue... The top of the treetops the nearest inch how high up the building does ladder! 48 degrees add the height of the, Q: park a 28 feet long leaning. ( see diagram above for clarification ) that should be your answer tree at a point on the ground the! Indicates how strong in your question, you agree to our Terms of and! Degrees angle with the ground and she sees the top of the pencil what is horizontal! Using cos 50 degrees is about 0.64 what is his horizontal distance from the,! Is 20 feet 20 feet tree in a park is 100 ft the... Memory this concept is, find distance using right triangles and angles of elevation from your of! Page if you ca n't see any equations transcribed image text expert answer Redwood trees are among the tallest all. Depression from the base of 20 feet 20 feet away from a tree sorry, phone! Ground ) to the calculated height of your eye ( see diagram above clarification! 57 feet from a building guy wire is to be 35 tower is 250... Ft. E. 47 ft. = { \displaystyle \tan ( 37^ { \circ } ) =\, \ a cable. A clinometer or a theodolite Tangent rule to calculate height of your eyes to the tip of the sun an...

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