Solve
-A Projectile Is Fired from a Cliff 400 Feet $45 ^ { \circ }$

Multiple Choice

Solve.
-A projectile is fired from a cliff 400 feet above the water at an inclination of $45 ^ { \circ }$ to the horizontal, with an initial velocity of 290 feet per second. The height $h$ of the projectile above the water is given by $h ( x ) = \frac { - 32 x ^ { 2 } } { ( 290 ) ^ { 2 } } + x + 400$ , where $x$ is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.

A) $1057.03 \mathrm { ft }$
B) $657.03 \mathrm { ft }$
C) $2371.09 \mathrm { ft }$
D) $1314.06 \mathrm { ft }$