Answer
$\theta$ $\approx$ 12.22728203$^{\circ}$
Work Step by Step
$\csc$ $\theta$ = 4.7216543
Therefore:
$\sin$ $\theta$ = $\frac{1}{csc\theta}$
$\sin$ $\theta$ = $\frac{1}{4.7216543}$
$\sin$ $\theta$ = 0.21179018
$\theta$ = $\sin$$^{-1}$ 0.21179018
Utilizing the calculator:
$\theta$ $\approx$ 12.22728203$^{\circ}$