Question

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

Answer 1

x ≈ 8.8

Explanation:

Using the sine ratio in the right triangle

sin20° =
`(opposite)/(hypotenuse)` =
`(PQ)/(OQ)` =
`(3)/(x)` ( multiply both sides by x )

x × sin20° = 3 ( divide both sides by sin20° )

x =
`(3)/(sin20)` ≈ 8.8 ( to the nearest tenth )