Answer
$30^{o}.$
Work Step by Step
We know that if $\cos{x}=y$, then $\cos^{-1}{y}=x.$
Thus, if $\cos{(\theta)}=\frac{\sqrt3}{2}$, then $\theta=\cos^{-1}{(\frac{\sqrt3}{2})}=30^{o}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.