Solve the Problem $t$ (In Seconds), Required for a Block to Slide Down an Required

Multiple Choice

Solve the problem.
-Ignoring friction, the time, $t$ (in seconds) , required for a block to slide down an inclined plane is given by the formula $t = \sqrt { \frac { 2 b } { g \sin \theta \cos \theta } }$ where $b$ is the length of the base in feet and $g = 32.2$ feet per second is the acceleration of gravity. How long does it take a block to slide down an inclined plane with a base of 12 feet at an angle of $36 ^ { \circ }$ ? Round your answer to three decimal places.

A) $7.104 \mathrm { sec }$
B) $0.361 \mathrm { sec }$
C) $0.885 \mathrm { sec }$
D) $1.252 \mathrm { sec }$