Question

A ladder leans against a building, making a 70 angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground. To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?

Answer 1

i took a quiz with this question and the answer is 14.2 ft.

Answer 2

Distance between base of the ladder and base of the building is 14.20 feet.

Explanation:

It is given in the question angle of elevation ∠ACB = 70°

The top of the ladder reaches a point on the building that is 39 feet above the ground

AB = 39 feet

We have to calculate the distance between the base of the ladder and the building.

Let distance BC = x feet

We know tan 70 = AB/BC = 39/x

x = 39/ tan 70 = 39/2.75 = 14.20 feet

So the distance between base of the building and the base of the ladder is 14.20 feet.