Question

A boat is being pulled towards a dock by a rope attached to the bow of the boat. The boat is approaching the dock at the rate of 2 meters/second. At the edge of the dock, the rope is one meter higher than it is at the bow of the boat. At what speed is the rope being pulled in when the boat is 11 meters from the dock? ____________meters/second.

Answer 1

\[2\frac{\sqrt{11^2+1^2}}{11}=\frac{2\sqrt{122}}{11}\]