Answer:
Solutions given;
Using cosine rule
b²=a²+c²-2*a*c*cos B°
b²=15²+8²-2*15*8*cos39
b²=102.48
b=[tex] \sqrt{102.48} [/tex]
b=10.12
b=10.1
Using sine rule
[tex] \frac{sin A}{BC} = \frac{sin B}{AC} =\frac{sin C}{AB} [/tex]
[tex] \frac{sin 29°}{15} =\frac{sin C}{8} [/tex]
Doing criss cross multiplication
Sin C=[tex] \frac{sin 29°}{15} ×8[/tex]
m<C=Sin -¹(0.29)
m<C=14.98
m<C=15°is a required answer.
