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Indirect Measurement

In this project, we used indirect measurement techniques to determine the height of a flagpole using trigonometry. We calculated heights by employing tangent ratios and similar triangles. By positioning ourselves at specific angles, we were able to accurately measure the distance to the pole and apply the tangent function to find the height. Specifically, we calculated various measurements, identifying congruences in angles and confirming our results through several mathematical approaches. Our final measurement revealed the flagpole's height to be 216 inches.

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Indirect Measurement

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  1. Indirect Measurement Avery, Alexis, Sam, Peyton P2

  2. The Flagpole We measured the flagpole outside D3.

  3. Trigonometry 1) Tan(50) = 310 1 X 50 2) Tan(50) X=310 X 3) X = 310 / Tan(50) =260.1 in. 40 310 in.

  4. Similar Triangles 1) 84 = 72 84 X 444 35 2) 72X = 37296 72 3) X = 518 (inches) X 35 444

  5. 45-45-90 For this measurement, Peyton moved around until he got a 45 degree angle. Then we measured the distance from Peyton to the pole (216 in.). Because the angles were congruent, the sides of the triangle were congruent. As a result, the height of the pole is 216 in.

  6. Pictures

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