Answer:
9.7 cm
Step-by-step explanation:
Using the sine rule as attached in the question and relating only two parts then
[tex]\frac {sin\ A}{a}=\frac {sin\ C}{c}[/tex] making c the subject of the formula then [tex]c=\frac {a sin\ C}{sin\ A}[/tex] Substituting 8cm for a, 55 degrees for A and 82 degrees for C then
[tex]c=\frac {8 sin\ 82^{\circ}}{sin\ 55^{\circ}}=9.671153\ cm\approx 9.7\ cm[/tex]
