Answer
$34.8^\circ$
Work Step by Step
From given triangle-
$\sin\theta$ = $\frac{4}{7}$
Therefore-
$\theta$ = $\sin^{-1} \frac{4}{7}$
Using calculator in degree mode-
$\sin^{-1}$ → $4\div7$ = 34.849904579
i.e. $\theta$ = $\sin^{-1}(\frac{4}{7}) \approx 34.8^\circ$
(Rounded to one decimal place)
