A statue creates a shadow that is 30 feet long. the angle of elevation of the sun is 50 degrees. How tall is the statue and how would i calculate that?

Question

Mathematics

Kaiser

8 March, 23:07

A statue creates a shadow that is 30 feet long. the angle of elevation of the sun is 50 degrees. How tall is the statue and how would i calculate that?

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Answers (1)

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Pasha · Answer 1

The answer:

first, the angle of elevation, the shadow and the statue form an right triangle.

so, we know that for computing tangent, we use the main formula:

Tan = opposite side / adjacent side

let x be the length of the statue, it is the opposite side

30 feet long is the adjacent side

therefore,

tan50° = x / 30, 1.19 * 30 = x, and the x=35.75 feet