Solve the Problem $$h ( x ) = \frac { - 32 x ^ { 2 } } { ( 270 ) ^ { 2 } } + x + 300$$

Multiple Choice

Solve the problem.
-A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 270 feet per second. The height h of the projectile above the water is given by $$h ( x ) = \frac { - 32 x ^ { 2 } } { ( 270 ) ^ { 2 } } + x + 300$$ ,
Where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the
Projectile.

A) 869.53 ft
B) 569.53 ft
C) 2,008.59 ft
D) 1,139.06 ft