Boat Docking $28.75 ~\mathrm { ft } / \mathrm { min }$

Multiple Choice

Boat docking. Suppose that a boat is being pulled toward a dock by a winch that is 24 ft above the level of the boat deck. If the winch is pulling the cable at a rate of 23 ft/min, at what rate is the boat approaching the dock when it is 32 ft from the dock? Use the figure below.

A) $28.75 ~\mathrm { ft } / \mathrm { min }$
B) $23.00 ~\mathrm { ft } / \mathrm { min }$
C) $38.33~ \mathrm { ft } / \mathrm { min }$
D) $17.25~ \mathrm { ft } / \mathrm { min }$
E) $13.80 ~\mathrm { ft } / \mathrm { min }$