The Path of a Diver Is Given By $y = - \frac { 16 } { 25 } x ^ { 2 } + \frac { 24 } { 5 } x + 1$

Multiple Choice

The path of a diver is given by $y = - \frac { 16 } { 25 } x ^ { 2 } + \frac { 24 } { 5 } x + 1$ where $y$ is the height (in feet) and $x$ is the horizontal distance from the end of the diving board (in feet) . Find the maximum height of the diver.

A) 13 feet
B) 19 feet
C) 10 feet
D) 11 feet
E) 16 feet