Answer
See below.
Work Step by Step
$C=180-51-44=85^\circ$.
Using the law of sines, $\frac{a}{\sin51^\circ}=\frac{11}{\sin85^\circ}\\a=\frac{11\sin51^\circ}{\sin85^\circ}\approx8.58$
$\frac{b}{\sin44^\circ}=\frac{11}{\sin85^\circ}\\b=\frac{11\sin44^\circ}{\sin85^\circ}\approx7.67$