Question

find x. round your answer to the nearest tenth of a degree.
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 \(8\) and the hypotenuse is \(15\). So, \(\cos x=\frac{8}{15}\).

Step2: Solve for \(x\)

Take the inverse cosine of both sides: \(x = \cos^{-1}(\frac{8}{15})\). Using a calculator, \(x\approx57.7^{\circ}\)

Answer:

\(57.7\)