Answer
$68^{\circ};112^{\circ}$
Work Step by Step
Using degree mode and inverse sine function, we get
$\theta=\sin^{-1}0.92718385=68^{\circ}$
Another possible value of $\theta$ can be found by using the identity $\sin(180^{\circ}-x)=\sin x$
$\implies \sin 68^{\circ}=\sin(180-68)^{\circ}=\sin 112^{\circ}$
$\implies\sin^{-1}0.92718385=68^{\circ}$ or $112^{\circ}$
