According to the Occupational Safety and

Health Administration (OSHA) a ladder
leaning against a wall should make a 75°
angle with the ground for optimal safety.
You have a 18-foot ladder. How far away
from the base of the wall should you place the bottom of the ladder so that the angle of the ladder will be 75°? Round to thenearest 10th of a foot.

draw a diagram. You can see that

x/18 = cos75°