Answer
$27.3^\circ$
Work Step by Step
From given triangle-
$\cos\theta$ = $\frac{8}{9}$
Therefore-
$\theta$ = $\cos^{-1} \frac{8}{9}$
Using calculator in degree mode-
$\cos^{-1}$ → $8\div9$ = 27.2660444507
i.e. $\theta$ = $\cos^{-1}(\frac{8}{9}) \approx 27.3^\circ$
(Rounded to one decimal place)
