A 14-foot ladder is leaning against the side of a house. The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot

Question

Mathematics

Davion Huber

2 February, 10:11

A 14-foot ladder is leaning against the side of a house. The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot

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Answers (1)

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Eleanor · Answer 1

9 ft

Step-by-step explanation:

You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:

cos (50) = x/14

Then you multiply 14 by cos (50) and get almost 9 ft (rounding to the nearest tenth of a foot).