A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor The rope is 110 feet long The water is 55 feet deep To the nearest tenth of a foot. how far is the anchor from?

Assume the question is, How far is the anchor from a point on the sea bed vertically below the boat?

The taut rope is effectively the hypotenuse of a right angled triangle. The depth of water provides the second side and the answer is the third side (L).

By Pythagoras then 1102 = 552 + L2 : L2 = 1102 - 552 = 12100 - 3025 = 9075

If L2 = 9075 then L = √9075 = 95.3 ft

The distance of the anchor from a point on the sea bed vertically below the boat is 95.3 ft