A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean

Mathematics
Tutor: None Selected Time limit: 1 Day

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?

A.  145.6 ft
B.
18,000 ft
C.
9,000 ft
D.
134.2 ft
Apr 29th, 2015

The answer is "D"

Setup a right triangle with the boat on top.  Striaght down is 40 feet.  The rope makes the hypotenuse at 140 feet.  The floor of the ocean makes the third side.

40^2 + x^2 = 140^2

When you solve for "x" you get 134.2 feet.

Hope that helps.

Apr 29th, 2015

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