A ladder leans against a building. The foot of the ladder is 6 feet from the building. The ladder reaches a height of 14 feet on the building. What angle does the ladder make with the house? Round your answer to the nearest tenth of a degree. Do not include any units in your answer--just put the measure of the angle

Question

Mathematics

Abigail Cooper

23 May, 22:49

A ladder leans against a building. The foot of the ladder is 6 feet from the building. The ladder reaches a height of 14 feet on the building. What angle does the ladder make with the house? Round your answer to the nearest tenth of a degree. Do not include any units in your answer--just put the measure of the angle

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Answers (1)

Know the Answer?

Lewis Bailey · Answer 1

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the group. The length of the ladder represents the hypotenuse of the triangle.

The foot of the ladder is 6 feet from the building. This represents the adjacent side of the triangle.

The ladder reaches a height of 14 feet on the building. This represents the opposite side of the triangle.

To determine the angle that the ladder makes with the house θ, we would apply the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan θ = 14/6 = 2.33

θ = Tan^ - 1 (2.33)

θ = 66.8