Question

"The shadow of a vertical tower is 76.0 ft long when the angle of elevation of the sun is 33.0degree. Find the height of the tower.

​(Simplify your answer. Type an integer or decimal rounded to the nearest tenth as​ needed.)"

Answer 1

The only reason I’m asking is to be honest and I don’t want to be a burden

Answer 2

49.4 ft

Explanation:

You want the height of a tower that casts a 76 ft shadow when the angle of elevation of the sun is 33°.

Tangent

The tangent relation for angles in a right triangle is ...

Tan = Opposite/Adjacent

This geometry can be modeled by a right triangle with the side adjacent to the angle of elevation being 76 ft, and the side opposite being the tower.

tan(33°) = height/(76 ft)

height = (76 ft)·tan(33°) ≈ 49.4 ft

The height of the tower is about 49.4 feet.

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