Answer
$55.673870^{\circ}$
Work Step by Step
Step 1: $\sin\theta=0.82584121$
Step 2: $\theta=\sin^{-1} 0.82584121$
Step 3: Using degree mode, we type $\sin^{-1} 0.82584121$ into the calculator and solve:
$\theta=\sin^{-1} 0.82584121=55.673870^{\circ}$
