Solve the Problem $$h ( x ) = \frac { - 32 x ^ { 2 } } { ( 220 ) ^ { 2 } } + x + 200,$$

question 108

Multiple Choice

Solve the problem.
-A projectile is fired from a cliff 200 feet above the water at an inclination of 45° to the horizontal, with an initial velocity of 220 feet per second. The height h of the projectile above the water is given byby $$h ( x ) = \frac { - 32 x ^ { 2 } } { ( 220 ) ^ { 2 } } + x + 200,$$ where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the
Projectile.

• A)1334.38 ft
• B)378.13 ft
• C)756.25 ft
• D)578.13 ft