Respuesta :

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°.