Question

x is an acute angle. find the value of x in degrees. \\(\cos(x) = \frac{\sqrt{3}}{2}\\) \\(x = \square^\circ\\)

Explanation:

Step1: Recall cosine of special angles

We know that $\cos(30^\circ) = \frac{\sqrt{3}}{2}$

Step2: Match given value to angle

Since $\cos(x) = \frac{\sqrt{3}}{2}$ and $x$ is acute, $x$ equals the angle whose cosine is $\frac{\sqrt{3}}{2}$.

Answer:

$30$