Answer:
[tex]c=3.67\ cm[/tex]
Step-by-step explanation:
we know that
Applying the law of sines
[tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
in this problem we have
[tex]b=3\ cm, B=45\°, C=60\°[/tex]
substitute and solve for c
[tex]\frac{3}{sin(45\°)}=\frac{c}{sin(60\°)}[/tex]
[tex]c=sin(60\°)\frac{3}{sin(45\°)}[/tex]
[tex]c=3.67\ cm[/tex]
