A rope passing through a capstan on a dock is attached to a

Last updated: 7/26/2023

A rope passing through a capstan on a dock is attached to a boat offshore The rope is pulled in at a constant rate of 2 ft s and the capstan is 6 ft vertically above the water How fast is the boat traveling when it is 5 ft from the dock Let x be the horizontal distance from the boat to the dock and z be the length of the rope Write an equation relating x and z