Answered

A ranger spots a forest fire while on a 45-meter observation tower. The angle of depression from the tower to the fire is 12°. To the nearest meter, how far is the fire from the base of the tower?


212 meters

10 meters

216 meters

71 meters

Verified Answer :

Correct answer is A.

\(\tan{12^o}= \frac{45}{x} \\ \\x= \frac{45}{\tan{12^o}}} \\ \\x \approx 212 \text{ m}\)

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