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 th

Question

3 years ago

6

e angle created by the ladder and the ground?
a) 21.801°
b) 30°
c) 60°
d) 68.199°

1 answer:

tatuchka [14] · Answer 1 · 2022-03-07T01:49:03+03:00

Answer:

c) 60°

Step-by-step 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°