Question

A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 90 feet long and the water is 80 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?

Answer 1

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Answer 2

Solve the following for x:\[90^2=80^2+x^2 \]

Answer 3

\[x=\sqrt{90^2-80^2}=10 \sqrt{17}=41.223 ft\]