A cable car is to be installed from a point d = 850 ft from the base to the top of the mountain, as shown. Find the shortest length of cable needed. (read description)

Question

A steep mountain is inclined 74° to the horizontal and rises h = 3000 ft above the surrounding plain. A cable car is to be installed from a point d = 850 ft from the base to the top of the mountain, as shown. Find the shortest length of cable needed. (Round your answer to the nearest foot.)

Answer 1

Draw and label a diagram!

sin 74° = 3000 / d

Can you solve for d and answer?