Question

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

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-12
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?

Expert Answers (1)

2021-09-13
Let x be the distance from the base of the plateau to you. Draw the situation as shown: [Triangle]
Since x is the side adjacent the 60° angle and we are given the length of the side opposite the angle, then we can use the tangent ratio to write: \(\displaystyle{\tan{{60}}}°={o}{p}\frac{{p}}{{a}}{d}{j}=\frac{{50}}{{x}}\)
\(\displaystyle{x}=\frac{{50}}{{\tan{{60}}}}°\)
Use a calculator in DEGREE mode x ~ 28.9m
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