Answer
$30.987961^{\circ}$
Work Step by Step
Ensuring that the calculator is in degree mode, we enter $\csc^{-1} (1.9422833)$ as $\sin^{-1} (\frac{1}{1.9422833})$ into the calculator and solve:
$\sin^{-1} (\frac{1}{1.9422833})\approx30.987961^{\circ}$