A landscaper is making a retaining wall to shore up the side of a hill. to ensure against collapse, the wall should make an angle 75° with the ground. how far from the base of the hill is the base of a 15-foot slanted wall?

Refer to the diagram shown below.

Let x = distance of the base of the ladder from the base of the hill.

By definition,

sin (75°) = x/15

x = 75*cos (75°) = 3.882 ft

Answer:

The distance between the base of the hill and the base of the ladder is 3.9 ft (nearest tenth)