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 the cosine value of special angles

We know that for acute angles, $\cos(30^{\circ})=\frac{\sqrt{3}}{2}$.

Step2: Determine the value of \(x\)

Since \(\cos(x)=\frac{\sqrt{3}}{2}\) and \(x\) is an acute angle, by comparing with the known cosine values of special angles, we can conclude that \(x = 30^{\circ}\).

Answer:

\(30\)