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  • 24-07-2021
  • Mathematics
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Find the measure of the indicated angle to the nearest degree

Find the measure of the indicated angle to the nearest degree class=

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MathTutors MathTutors
  • 24-07-2021

Answer: x=31°

Step-by-step explanation:

To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.

[tex]cos(x)=\frac{48}{56}[/tex]          [use inverse cosine]

[tex]x=cos^{-1}(\frac{48}{56})[/tex]

[tex]x=31[/tex]

Now, we know x=31°.

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