Answer:
C. 15.04°
Step-by-step explanation:
The best approach to this question is to use the Law of Sine: [tex]\frac{a}{sin(a)} =\frac{b}{sin(b)} =\frac{c}{sin(c)}[/tex]
We are given ∠48°, 63 on the longest side and 22 on the adjacent side (opposite of ∠B). This means we just have to set up our equation (remember to set calc to deg!!):
[tex]\frac{63}{sin48} = \frac{22}{sinB}[/tex]
We solve by cross multiplying:
63sin(B) = 22sin(48°)
sin(B) = [tex]\frac{22sin48}{63}[/tex]
B = sin^-1 ([tex]\frac{22sin48}{63}[/tex])
Plug the B equation into the calculator and your final answer should be 15.041°, which rounds to 15.04°.
