A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat (see figure).

The winch pulls in rope at a rate of 4 feet per second. Determine the speed of the boat when there is 13 feet of rope out. What happens to the speed of the boat as it gets closer to the dock?

Note: I will be looking for a picture of the figure online so that I can post it here.

Can somebody please explain how to work this problem or at least provide me with the formula I should use?

**Edited by Mahmoud, 14 October 2008 - 03:44 PM.**