EmerieO243738 EmerieO243738
  • 25-10-2022
  • Mathematics
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Find The measure of the indicated to the nearest angle

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

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BeatrizC115624 BeatrizC115624
  • 25-10-2022

The given figure is a right triangle, then we can apply the sine function to find the missing angle, so:

[tex]\sin\theta=\frac{opposite}{hypotenuse}[/tex]

The opposite side to the angle measures 17, and the hypotenuse measures 19.

By replacing these values, we can find the angle:

[tex]\begin{gathered} \sin\theta=\frac{17}{19} \\ \\ \theta=\sin^{-1}(\frac{17}{19}) \\ \\ \theta=63.47 \\ \theta\approx64\degree \end{gathered}[/tex]

The answer is 64°.

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