$(8$ pts$.)$ A baseball hit by a Boston Red Sox player at an initial speed of $100$ miles per hour from $3$ ft above

the ground just cleared the left end of the $$Green Monster$,$ the left field wall in Fenway Park. This wall is $37$

ft high and $315$ ft from home plate. Neglect air resistance. Assume the acceleration of gravity is $32\mathrm{.}2$ ft$/$s$2$

$.$

$($a$)$ At what angle from the horizontal $($i$.$e$.$ launch angle$)$ was the ball hit?

$($b$)$ How many seconds did it take the ball to reach the wall?