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## A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is the ladder’s

Question

A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is the ladder’s angle of elevation?

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Mathematics
5 months
2021-08-23T11:29:00+00:00
2021-08-23T11:29:00+00:00 1 Answers
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## Answers ( )

Answer:

70.5°

Step-by-step explanation:

To solve for the ladder’s angle of elevation, we solve using the Trigonometric function of Cosine

= cos θ = Adjacent/Hypotenuse

Where

Adjacent = Distance of the base from the house = 10ft

Hypotenuse = Length of the ladder = 30 ft

cos θ = 10/30

cos θ = 1/3

θ = arc cos 1/3

θ = 70.528779366

Approximately = 70.5°

Therefore, the ladder’s angle of elevation is 70.5°