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

question 101

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