# 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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