ANSWER
[tex]9.7cm[/tex]
EXPLANATION
To find the value of c, we have to apply the law of sines.
Therefore, we have that:
[tex]\frac{\sin55}{8}=\frac{\sin 82}{c}[/tex]
Solve for c by cross-multiplying:
[tex]\begin{gathered} _{_{}}c=\frac{8\cdot\sin 82}{\sin 55} \\ c=\frac{7.9221}{0.8192} \\ c\approxeq9.7cm \end{gathered}[/tex]
That is the value of c.
