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A ranger stands at the top of a 160-foot tower. He spots a campfire at an 8° angle of depression. What is the distance from the campfire to the base of the tower? Enter your answer, rounded to the nearest foot, in the box. Round only your final answer.

Respuesta :

calculista
see the picture attached to better understand the problem

we know that
in the right triangle ABC
tan 8°=opposite side angle 8°/adjacent side angle 8°
opposite side angle 8°= side AB----> 160 ft
adjacent side angle 8°=side BC
so
tan 8°=AB/BC---------> BC=AB/tan 8°----> 160/tan 8°----> 1138.46 ft

BC=1138 ft

the answer is
1138 ft
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