Respuesta :

Answer:

D. 13 degrees

Step-by-step explanation:

Using the law of sines, [tex]\frac{sinC}{c}=\frac{sinB}{b}[/tex]

and substituting known values into this equation:

[tex]\frac{sin(75)^\circ}{30}=\frac{sinB}{7}[/tex]

[tex]7\cdot{sin(75)^\circ}={sinB}\cdot{30}[/tex]

divide both sides by 30

[tex]\frac{7\cdot{sin(75)^\circ}}{30}=sinB[/tex]

[tex]sin(13)\div7=0.0321...[/tex] and [tex]sin(75)\div30=0.0321...[/tex]