Question

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

Answer 1

Answer: 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.

$cos(47)=\frac{28}{x}$             [multiply both sides by x]

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

$x=\frac{28}{cos(47)}$

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

Answer 2

Answer:

ans: 41.1

Step-by-step 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