Answer
$34.7^\circ$
Work Step by Step
From given triangle-
$\tan\theta$ = $\frac{9}{13}$
Therefore-
$\theta$ = $\tan^{-1} (\frac{9}{13})$
Using calculator in degree mode-
$\tan^{-1}$ → $9\div13$ = 34.6951535312
i.e. $\theta$ = $\tan^{-1}(\frac{9}{13}) \approx 34.7^\circ$
(Rounded to one decimal place)