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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Nick 5 months 2021-08-23T11:29:00+00:00 1 Answers 5 views 0

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  1. danthu
    0
    2021-08-23T11:30:05+00:00
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    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°

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