Answer:
c=0.5 cm
Step-by-step explanation:
Angle C is 15 and angle B is 105
The value of b=2cm
We need to find out 'a'
[tex]\frac{sin A}{a} =\frac{sin B}{b} =\frac{sin C}{c}[/tex]
[tex]\frac{sin B}{b} =\frac{sin C}{c}[/tex]
[tex]\frac{sin 105}{2} =\frac{sin 15}{c}[/tex]
cross multiply it
[tex]sin(105) c= sin(15) * 2[/tex]
Divide both sides by sin(105)
[tex]c=\frac{sin(15)*2}{sin(105)}[/tex]
c=0.5
