Question

A 5-foot ladder leans against a wall. The base of the ladder is on the ground, 2.5 feet from the wall. What is the measure of the angle created by the ladder and the ground?

a) 21.801°
b) 30°
c) 60°
d) 68.199°

Answer 1

c) 60°

Explanation:

We solve this question using trigonometric function of Cosine.

cos θ = Adjacent/Hypotenuse

θ = ???

Adjacent = Base of the ladder is on the ground = 2.5 feet

Hypotenuse = Length of the ladder = 5 feet

cos θ = 2.5/5

θ = arc cos (2.5/5)

θ = 60°

Therefore, the measure of the angle created by the ladder and the ground is 60°