Question

Solve for x. Round to the nearest tenth if necessary.

A. 28
B. 30.1
C. 41.1
D. 30

Answer 1

ans: 41.1

Explanation:

in given figure 47° is reference angle so considering the given sides and reference angle use cosine

I.e

cos47° = 28/x

x = 28 / cos47°

x = 41.1

Answer 2

Answer: 41.1

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.

`cos(47)=(28)/(x)` [multiply both sides by x]

`xcos(47)=28` [divide both sides by cos(47)]

`x=(28)/(cos(47))`

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