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  • 03-10-2020
  • Mathematics
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trigonometric functions: what is the value of x?

trigonometric functions what is the value of x class=

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jimrgrant1 jimrgrant1
  • 03-10-2020

Answer:

x ≈ 19.7

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin66° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] ( multiply both sides by x )

x × sin66° = 18 ( divide both sides by sin66° )

x = [tex]\frac{18}{sin66}[/tex] ≈ 19.7 ( to the nearest tenth )

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