The base of a ladder is 12 feet from the bottom of a house. The ladder makes a 70°angle with the ground. (The ground and the house make a ri

Question

The base of a ladder is 12 feet from the bottom of a house. The ladder makes a 70°angle with the ground. (The ground and the house make a right angle.) What is the height of the house to the nearest tenth of a foot ?

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Đan Thu 5 years 2021-08-13T17:00:11+00:00 1 Answers 19 views 0

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  1. Nho
    0
    2021-08-13T17:01:51+00:00
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    Answer:

    6.1 feet

    Step-by-step explanation:

    We solve the above question using the trigonometric function of Tangent

    tan θ = Opposite/Adjacent

    Opposite = Height = x

    Adjacent = 12 feet

    θ = 27°

    Hence,

    tan 27 = x/12

    x = tan 27 × 12

    x = 6.1143053939 feet

    Approximately = 6.1 feet

    Therefore, the height of the house is 6.1 feet

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