Question

Find the value of x, rounded to the nearest tenth.

Answer 1

https://dlap.gradpoint.com/Resz/~0.VCDjzRpD4g4yUA6.xgQa2kGVWKhrt-6wTwFBtN9vCLKOqD5NhXgvy0ChjpE/7234256,BA/Assets/questions/quiz/geometry/geosincs/geosincs-e-12.png

Answer 2

@Vocaloid

Answer 3

set up the sin ratio and solve for x

Answer 4

You need to identify the sides from the angle given.



You have your opposite (being x) and your hypotenuse. Now remember SOH, CAH, and TOA which tell you which ratio you would use. In this case you would use Sine since its associates with opposite and hypotenuse.

\(\large\bf{sin(x)=\frac{opposite}{hypotenuse}}\)

Plug in.

\(\large\bf{sin(20)=\frac{x}{18}}\)

How would you simplify?

Answer 5

@Vocaloid how should I simplify this?

Answer 6

she gave you sin(20) = x/18 you just have to solve for x

Answer 7

@Vocaloid 6?

Answer 8

the question says nearest tenth

x≈6.1564 ---> x = 6.2