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  • 02-06-2020
  • Mathematics
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To the nearest degree, find the measure of angle B.

To the nearest degree find the measure of angle B class=

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eudora eudora
  • 07-06-2020

Answer:

Measure of angle B is 70°.

Step-by-step explanation:

From the given right triangle ABC,

Sin B = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{AC}{AB}[/tex]

         = [tex]\frac{4.8}{5.1}[/tex]

     B = [tex]\text{Sin}^{-1}(\frac{48}{51} )[/tex]

         = [tex]\text{Sin}^{-1}(0.94118 )[/tex]

         = 70.25

m∠B ≈ 70° [Nearest degree]

Therefor, measure of angle B is 70°.  

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