Answer
$\approx 36.9^\circ$
Work Step by Step
From given triangle-
$\sin\theta$ = $\frac{6}{10}$ = $0.6$
Therefore-
$\theta$ = $\sin^{-1} (0.6)$
Using calculator in degree mode-
$\sin^{-1}$ → $0.6$ = 36.8698976458
i.e. $\theta$ = $\sin^{-1}(0.6) \approx 36.9^\circ$
(Rounded to one decimal place)
