Solve the Problem

Multiple Choice

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A person standing on top of a 15-foot high sand pile wishes to estimate the width of the pile. He visually locates two rocks on the ground below at the base of the sand pile. The rocks are on opposite sides of the sand pile, and he and the two rocks are in line with one another. If the angles of depression from the top of the sand pile to each of the rocks are 17° and 26°, how far apart are the rocks? ​

A) 80 ft
B) 82 ft
C) 87 ft
D) 90 ft
E) 75 ft