BereniseG118540 BereniseG118540
  • 25-10-2022
  • Mathematics
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Find the measure of the side labeled x. Round to two decimal places as needed.

Find the measure of the side labeled x Round to two decimal places as needed class=

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TrixieP731369 TrixieP731369
  • 25-10-2022

The Solution:

Given:

We are asked to find the value of x.

By applying the Trigonometrical Ratio, we have:

[tex]\begin{gathered} \sin42.8=\frac{opp}{hypotenuse}=\frac{x}{20.9} \\ \\ \sin42.8=\frac{x}{20.9} \end{gathered}[/tex]

Cross multiplying, we get

[tex]x=20.9\sin42.8=14.2003\approx14.20[/tex]

Therefore, the correct answer is 14.20

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