A 13-foot ladder leans against a house. the bottom of the ladder is 5 feet from the house. to the nearest degree, what angle does the ladder make with the ground? enter your answer in the box.

Question

Mathematics

Lindsay Rollins

1 June, 21:26

A 13-foot ladder leans against a house. the bottom of the ladder is 5 feet from the house. to the nearest degree, what angle does the ladder make with the ground? enter your answer in the box.

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Answers (1)

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Andrew Cervantes · Answer 1

The angle is 67°.

The two sides of the triangle given are the side adjacent to the angle (the distance from the house) and the hypotenuse (the length of the ladder).

adjacent/hypotenuse is the ratio for cosine:

cos x = (5/13)

To solve this, we will take the inverse cosine:

x = cos⁻¹ (5/13) = 67