Solve for x. Round to the nearest tenth if necessary. A. 28
B. 30.1
C. 41.1
D. 30

41.1

Step-by-step explanation:

To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.

Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.

            [multiply both sides by x]

          [divide both sides by cos(47)]

When we plug that into a calculator, we get x=41.1.