A wire runs from the top of a pole that is h feet tall to the ground. The wire touches the ground a distance of d feet from the base of the pole. The wire makes an angle of theta with the top of the pole. Express h in terms of theta and d.

Question

Physics

Maddison Moyer

20 April, 10:45

A wire runs from the top of a pole that is h feet tall to the ground. The wire touches the ground a distance of d feet from the base of the pole. The wire makes an angle of theta with the top of the pole. Express h in terms of theta and d.

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Answers (1)

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Logan Hoover · Answer 1

A = Tan{-1} d/h

Explanation

Let the angle Theta be A

From identity the angle A has an opposite side d and an adjacent h.

From trigonometry ratio

Tan A = d/h

A = Tan{-1} d/h