Question

e for x. round to the nearest tenth of a degree, if necessary.
answer
x =

Explanation:

Step1: Recall the cosine function

In a right - triangle, \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(x\) is \(PQ = 7.2\) and the hypotenuse is \(OQ=12\). So, \(\cos x=\frac{7.2}{12}\).

Step2: Calculate the value of \(\cos x\)

\(\frac{7.2}{12}=0.6\).

Step3: Find the value of \(x\)

Since \(x = \cos^{-1}(0.6)\), using a calculator, \(x\approx53.1^{\circ}\).

Answer:

\(53.1\)