Answer:
Step-by-step explanation:
The Law of Sines is
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
Filling in what we are given:
[tex]\frac{sin(110.8)}{25.3}=\frac{sin(18.2)}{c}[/tex]
Cross multiply to get
[tex]csin(110.8)=25.3sin(18.2)[/tex] and divide to solve for side c:
[tex]c=\frac{25.3sin(18.2)}{sin(110.8)}[/tex] which gives you that
c = 8.45
We know that angle B has to be the difference between 180 and angle A and angle C, so
angle B = 51
Now we can solve for side b:
[tex]\frac{sin(110.8)}{25.3}=\frac{sin(51)}{b}[/tex] and
[tex]b=\frac{25.3sin(51)}{sin(110.8)}[/tex] and
b = 21.03
