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Trigonometry

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Moderate

Right Triangle, Application, Sine Function, Angle of Depression

TRIG-3XNOVI

The USS Arleigh Burke, a United States Navy destroyer, is on a typical patrol when its radar detects a possible submarine sighting. The contact is 250 meters away with an angle of depression of ${22}^{o}$.

What is the depth of the submarine sighting, to the nearest tenth of a meter?

A

$231.8\; \text{meters}$

B

$ 93.7\; \text{meters}$

C

$101.0\; \text{meters}$

D

$667.4\; \text{meters}$