Answer
$24.777233^\circ$
Work Step by Step
Given $csc\theta=2.3861147$ and $\theta\in[0^\circ,90^\circ)$, we have $sin\theta=\frac{1}{csc\theta}=\frac{1}{2.3861147}\approx0.41909134$, thus $\theta=asin(0.41909134)\approx24.777233^\circ$, here $(asin=arcsin=sin^{-1})$
