A support wire for a utility pole is 40 feet long. The wire is attached to the ground 24 feet from the base of the pole. How tall is the uti

Question

A support wire for a utility pole is 40 feet long. The wire is attached to the ground 24 feet from the base of the pole. How tall is the utility pole?

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Nho 4 years 2021-08-02T14:19:10+00:00 1 Answers 7 views 0

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  1. minhkhang
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    2021-08-02T14:20:58+00:00
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    Answer:

    32 feet

    Step-by-step explanation:

    given the following;

    Length of wire = 40feet = hypotenuse

    Base of the pole = 24 feet = adjacent

    Required

    Height of the pole (opposite)

    Using the pythagoras theorem;

    hyp^2 = opp^2 + adj^2

    40^2 = 24^2 + opp^2

    1600 = 576 +opp^2

    opp^2 = 1600 – 576

    opp^2 = 1024

    opp = √1024

    opp = 32feet

    Hence the utility pole is 32feet tall

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