How To Find The Height Of A Flagpole Using Its Shadow. , determine the height of the flagpole. On a sunny day, measure the

, determine the height of the flagpole. On a sunny day, measure the length of the shadow of the flagpole. At the same time, measure the length of the shadow of a known object (like a meter stick). Steve is trying to determine the height of a flagpole using the flagpole's shadow. The triangle PQR is in the shadow of the flagpole and |QR| = x feet is the length of the shadow on the ground. Apr 24, 2017 · The most accurate method for measuring the height of a flagpole is to use a surveyor's theodolite to measure the angle of elevation and the distance from the base of the pole. tall and his shadow is 4 ft. PQ is the flagpole and the ray RP points to the sun. Finding the height of a flagpole using trigonometry Mark Willis 12. She placed a mirror on the ground 48 feet from the flagpole, the walked backward until she was able to see the top of the pole in the mirror. The ratio of the man's height to his shadow length is the same as the ratio of the flagpole's height to its shadow length. She stands so that the tip of her shadow coincides with the tip of the flagpole's shadow as shown. Nov 8, 2021 · Use numerals instead of words. Make the equation: LENGTH OF STICK HEIGHT OF FLAGPOLE. v In the second calculation, you must use ratios of similar triangles to find the height of the pole. Also measure the height of the known object. First, the length of the shadow of the totem pole is measured. Myk is 5 feet and 2 inches tall, and their shadow is 84 inches tall. To estimate the height of the flagpole using the shadow method, we had to measure three things: The height of the person looking down at the mirror; the ground distance between that person and the mirror; the ground distance between the mirror and the base of the flagpole. The distance from the flagpole to Julia is 28 feet, and the distance between the tip of the shadows and Julia is 7 feet. Apr 12, 2013 · Height of a Flagpole : How to pick the right height Spring is here! The trees are budding and the tulips are peeking up from the frozen soil. 3. to calculate the height of the pole. May 15, 2018 · Explanation To find the height of the flagpole, we can set up a proportion using the information given. θ is the angle of elevation of the sun. The flagpole next to them has a shadow that is 31 feet long. Steve is 6 feet tall, and his shadow is 9 feet long at the same time. To determine the height of a flagpole, you can create a right triangle by using the flagpole as one of the legs and measuring the angle to the top of the flagpole from a known distance away. Jan 3, 2021 · To find the height of the flagpole, one should use proportions involving the lengths of the flagpole and stick shadows, given that their respective heights form similar triangles. With that information, you can calculate the height from the tangent of the angle of elevation. The height of the flagpole is ___ feet. At the same time an oversized groundhog 6 ft tall casts a 4 ft shadow. You can form a proportion to represent the situation given in the We would like to show you a description here but the site won’t allow us. Jun 15, 2018 · Upload your school material for a more relevant answer The height of the flagpole is determined to be 20 feet. The height of the flagpole and the length of the shadow form a right triangle, where: Dec 13, 2022 · Answer:Given:In figure, AB is the flagpole and AC is the shadow of flagpole. Similar triangles can be used as an alternate solution strategy. Mar 3, 2019 · Understand the setup: Jim's height and shadow can be compared to the flagpole's height and its shadow because they are both casting shadows at the same time and angle. Let us consider a person standing at point D, such that angle BAC = angle DABNow, le… Jan 30, 2023 · So, we can set the ratio of the person's height to their shadow length equal to the ratio of the flagpole's height to its shadow length and solve for the flagpole's height. At the same time, the shadow cast by a vertical object of known height is measured. Oct 24, 2022 · The height of the flagpole is 27 feet, calculated using the proportion of the height of Jim to the length of his shadow and the length of the flagpole's shadow. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. Apr 24, 2020 · The height of the flagpole is 21 feet, determined by using the properties of similar triangles. Use your clinometer to find the angle of elevation when looking to the top of the flagpole. Measure the stick. Dec 9, 2017 · For example, if we know that a smaller pole also casts a shadow, we can use the same method to determine its height or shadow length by comparing it to the larger structure's measurements. Julia uses the shadow of the flagpole to estimate its height. Calculate the height of the flagpole. This principle is extremely useful in geometry and helps solve various real-world problems where direct measurement is not possible. Measure the distance from the flagpole.

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