Answer
$24.777233^{\circ}$
Work Step by Step
Step 1: Using the identity $\sin\theta=\frac{1}{\csc\theta}$ and substituting the value of $\csc\theta$,
$\sin\theta=\frac{1}{2.3861147}$
Step 2: $\theta=\sin^{-1}\frac{1}{2.3861147}$
Step 3: Using degree mode and the inverse sine function, we find that:
$\theta=\sin^{-1}\frac{1}{2.3861147}\approx24.777233^{\circ}$
