The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?

Question

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?

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Tài Đức 3 years 2021-08-24T04:53:39+00:00 1 Answers 15 views 0

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  1. Orla
    0
    2021-08-24T04:54:43+00:00
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    Answer:

    The angle is approximately 31^{o}.

    Step-by-step explanation:

    The description i the given question can be represented with the sides of a right angled triangle.

    Applying the appropriate trigonometric function, we have;

    Tan θ = \frac{opposite}{adjacent}

    In the question, opposite side = 60 feet, and adjacent side = 100 feet.

    Tan θ = \frac{60}{100}

             = 0.6

    θ = Tan^{-1} 0.6

      = 30.964^{o}

    θ = 31^{o}

    The angle of elevation from the end of the shadow to the top of the pole is 31^{o}.

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