Mathametics - trigonometry

Question

From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of depression of 40º. If the tower is 45 feet in height, how far is the partner from the base of the tower, to the nearest tenth of a foot (Detailed explanation please)

Answer 1

x = distance to base of tower

Draw a picture and note that

45 / x = tan40°

x = 45 / tan40° feet = ? feet