Answer:
x ≈ 8.8
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{PQ}{OQ}[/tex] = [tex]\frac{3}{x}[/tex] ( multiply both sides by x )
x × sin20° = 3 ( divide both sides by sin20° )
x = [tex]\frac{3}{sin20}[/tex] ≈ 8.8 ( to the nearest tenth )
