Question

answer attempt 2 out of 2
$x = 58$ submit answer

Explanation:

Step1: Use cosine function

In right - triangle \(WVU\), \(\cos x=\frac{adjacent}{hypotenuse}\). Here, the adjacent side to angle \(x\) is \(VU = 7.9\) and the hypotenuse \(WU=15\). So, \(\cos x=\frac{7.9}{15}\).

Step2: Calculate \(x\)

\(x = \cos^{-1}(\frac{7.9}{15})\). Using a calculator, \(\frac{7.9}{15}\approx0.527\). Then \(x=\cos^{-1}(0.527)\approx58^{\circ}\)

Answer:

\(x = 58\)