Problema Solution

A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 140 feet long and the water is 40 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?

Answer provided by our tutors

let


d = the distance from the anchor to a point directly below the boat, d>0


using the Pythagorean Theorem we have


d^2 = 140^2 - 40^2


by solving we find


d = 134.2 ft


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