Question

solve for x. round to the nearest tenth of a degree, if necessary.
answer
attempt 1 out of 3

Explanation:

Step1: Use the cosine function

In a right - triangle, \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(x\) is \(51\) and the hypotenuse is \(61\). So, \(\cos x=\frac{51}{61}\).

Step2: Solve for \(x\)

Take the inverse cosine of \(\frac{51}{61}\). \(x = \cos^{-1}(\frac{51}{61})\). Using a calculator, \(x=\cos^{-1}(0.836066)\approx33.3^{\circ}\)

Answer:

\(33.3\)