Answer
$46.173582^{\circ}$
Work Step by Step
Use the identity $\sin\theta=\frac{1}{\csc\theta}$. If $\csc\theta=1.3861147$, then
$\sin\theta=\frac{1}{1.3861147}$
We can find $\theta$ now by using degree mode and the inverse sine function.
$\theta=\sin^{-1} (\frac{1}{1.3861147})\approx 46.173582^{\circ}$
