Question

If a 15' ladder is leaned up against a building so that the bottom of the ladder is 10' from the base of the building, what angle does the ladder make with the ground

Answer 1

48.2°

Explanation:

If a 15' ladder is leaned up against a building so that the bottom of the ladder is 10' from the base of the building, what angle does the ladder make with the ground

Let the angle the ladder makes with the ground be represented by x

We solve the above question using the Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

Adjacent = 10 inches

Hypotenuse = 15 inches

Hence,

cos x = 10/15

x = arc cos (10/15)

x = 48.189685104°

Approximately = 48.2°

Therefore, the angle the ladder makes with the ground is 48.2°