A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.

Question

Mathematics

Adriana

26 April, 12:11

A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.

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Answers (1)

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Chaya · Answer 1

Hello,

We know the hypotenuse 22 ft,

the adjacent side 3 ft,

so the cosine of the angle we are going to search is 3/22

that's done cos α=3/22==>α=82.1625 ... °≈82.2°