Question

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

Answer 1

Answer:

x ≈ 8.8

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = $\frac{opposite}{hypotenuse}$ = $\frac{PQ}{OQ}$ = $\frac{3}{x}$ ( multiply both sides by x )

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

x = $\frac{3}{sin20}$ ≈ 8.8 ( to the nearest tenth )