Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is 60°, how far are you from the base

Cem Hayes

Cem Hayes

Answered question

2021-06-13

Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is 60, how far are you from the base of the plateau?

Answer & Explanation

berggansS

berggansS

Skilled2021-06-14Added 91 answers

Let x - the distance from the base of the plateau to you.
Given the length of the side opposite the angle, we can use the tangent ratio to write: tan60°=oppadj=50xx=50tan60°
 x28.9m

Jeffrey Jordon

Jeffrey Jordon

Expert2021-09-14Added 2605 answers

Answer is given below (on video)

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