Question

A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the distance from the boat to the dock when the rope is 25 feet long?

Answer 1

Answer: 24 ft

Explanation:

By the Pythagorean theorem,

`7^(2)+x^(2)=25^(2) \\ \\ 49+x^(2)=625 \\ \\ x^(2)=576 \\ \\ x=\boxed{24 \text{ ft}}`