Answer:
B ≈ 34.0°
Step-by-step explanation:
We want to use the Law of Sines, which states that for a triangle with side lengths a, b, and c and angles A, B, and C:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Here, b = 14, c = 25, and C = 93, so plug these in:
[tex]\frac{b}{sinB} =\frac{c}{sinC}[/tex]
[tex]\frac{14}{sinB} =\frac{25}{sin(93)}[/tex]
Solve for B:
B ≈ 34.0°
