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.

Question

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.

Ms. Sue · Answer

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

Allie · Answer

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

Ms. Sue · Answer

You're welcome, Allie.

Anonymous · Answer

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