Answer
$v_x=1188 ft/s; v_y=167 ft/s$
Work Step by Step
we have $v= 1200$ ft/s
Consider two components of a vector $v$ as: $v=\lt v_x,v_y\gt$
Then, $v_x=(1200) \cos (8 ^{\circ})=1188 ft/s$;
$v_y=(1200) \sin (8 ^{\circ})=167 ft/s$
Hence, $v_x=1188 ft/s; v_y=167 ft/s$