Question

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

Answer 1

Correct answer is A.


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