Answer
$A=5°40'$, $B=8°15'$, $C=166°05$
$a=3.30$, $b=4.8$, $c=8.05$
Work Step by Step
$A=5°40'$, $B=8°15'$
$A+B+C=180°$
$C=180°-5°40'-8°15'=166°05'$
$\frac{a}{sin~5°40'}=\frac{4.8}{sin~8°15'}$
$a=4.8~\frac{sin~5°40'}{sin~8°15'}=3.30$
$\frac{c}{sin~166°05'}=\frac{4.8}{sin~8°15'}$
$c=4.8~\frac{sin~166°05'}{sin~8°15'}=8.05$