Answer
$32^{\circ}; 148^{\circ}$
Work Step by Step
Using degree mode and inverse sine function, we get
$\theta=\sin^{-1}0.52991926=32^{\circ}$
Another possible value of $\theta$ can be found by using the identity $\sin(180^{\circ}-x)=\sin x$
$\implies \sin 32^{\circ}=\sin(180-32)^{\circ}=\sin 148^{\circ}$
$\implies\sin^{-1}0.52991926=32^{\circ}$ or $\sin^{-1}0.52991926=148^{\circ}$
