1. The problem statement, all variables and given/known data A boat is pulled into a dock by means of a winch 12 ft. above the deck of a boat. (A) the winch pulls in rope at a rate of 4 ft/sec. What is the speed of the boat when there is 13ft of rope out. What happens to the speed of the boat as it gets closer to the dock? (B)The boat is traveling at 4ft/sec. Determine the speed at which the winch pulls in the rope when there is 13ft of rope out. What happens to the speed at which the winch pulls in rope as the boat gets closer? 2. Relevant equations 12^2+x^2=z^2 z is the hypotenuse 3. The attempt at a solution Found Derivative: 2x(dx/dt)=2z(dz/dt) dx/dt=z(dz/dt)/x I got the answer to A to be 10.4 ft/sec, is this correct? For B I got 20/13 ft/sec, is this correct?