Question: 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

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 4 ft / s, and the capstan is 4 ft vertically above the water. How fast is the boat travelling when it is 13 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

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