Determine the Range of a Projectile Fired at a Height $45 ^ { \circ } \text { above the horizontal. Use the model }$

Multiple Choice

Determine the range of a projectile fired at a height of 5 feet above the ground with an initial velocity of 1000 feet per second and at an angle of $45 ^ { \circ } \text { above the horizontal. Use the model }$ for projectile motion, assuming there is no air resistance. Round your answer to three decimal places.

A) 15,627.500 feet
B) 8,137.843 feet
C) 31,252.187 feet
D) 31,254.999 feet
E) 16,268.138 feet