Find the value of x. Round to the nearest tenth.

Answer:
x ≈ 55.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )
x × sin20° = 19 ( divide both sides by sin20° )
x = [tex]\frac{19}{sin20}[/tex] ≈ 55.6 ( to the nearest tenth )