word problem

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A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the pole.

  • word problem -

    a^2 + b^2 = c^2

    31^2 + p^2 = 62^2
    961 + p^2 = 3844

    p^2 = 3844 - 961
    p^2 = 2,883
    p = 53.226 = 53.2

  • word problem -

    Thank you, Ms. Sue....I had the right concept but was stuck in the last part...
    Allie

  • word problem -

    You're welcome, Allie.

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