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.
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