Aladder 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?

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

Step-by-step 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.

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