Answer:
9.7 cm
Step-by-step explanation:
We're given the Sine's law and taking 8cm as our side a then the angle of 55 degrees will be our A. Also, considering the unknown c, the angle C is 82 degrees provided. Now working witj the law of sine and substituting the above values we have
[tex]\frac {sin 55}{8}=\frac {sin 82}{c}[/tex]
By cross multiplication we get that
[tex]c=\frac {8 sin 82}{sin 55}=9.671153\approx 9.7[/tex]
When rounded off to the nearest tenth, c=9.7 cm
