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Trigonometry

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Right Triangle, Application, Tangent Function, River Width

TRIG-K7JFRW

From the top of a butte, the angle of depression to the far side of a river is ${49}^{o}$, and the angle of depression to the near side of the river is ${61}^{o}$. The height of the butte is $\text{ 185 meters}$.

What is the width of the river, round to the nearest tenth of a meter?

A

$ 58.3\ \text{meters}$

B

$ 31.7\ \text{meters}$

C

$ 22.2\ \text{meters}$

D

$ 120.9\ \text{meters}$