Answer
$\theta$ = $56.7^{\circ}$
Work Step by Step
Given, $\cos\theta$ = $0.5490$
Therefore-
$\theta$ = $\cos^{-1} 0.5490$
Using calculator in degree mode-(0.5490 → $\cos^{-1}$)
$\theta$ = $(56.701564192) ^{\circ}$
On rounding to the nearest tenth of a degree-
$\theta$ = $56.7^{\circ}$
