Answer
$v_x=1188 ft/s$
and
$v_y=167 ft/s$
Work Step by Step
Let the components of vector $v$ be given as $v=\lt v_x,v_y\gt$
Here, $v= 1200$ ft/s
Now, $v_x=1200 \cos (8 ^{\circ})=1188 ft/s$
and
$v_y=1200 \sin (8 ^{\circ})=167 ft/s$
Hence, $v_x=1188 ft/s$
and
$v_y=167 ft/s$