Find the value of x. Round your answer to the nearest tenth of a unit.
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Answer:
x ≈ 21.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )
x × sin31° = 11 ( divide both sides by sin31° )
x = [tex]\frac{11}{sin31}[/tex] ≈ 21.4 ( to the nearest tenth )