Answer
$A=8.4°$
$B=81.6°$
$C=90°$
$a=40.5$
$b=274.27$
$c=277.24$
Work Step by Step
$A=8.4°$, $C=90°$ (right triangle)
$A+B+C=180°$
$8.4°+B+90°=180°$
$B=180°-90°-8.4°$
$B=81.6°$
$a=40.5$
$sin~A=\frac{opp}{hyp}=\frac{a}{c}=\frac{40.5}{c}$
$c=\frac{40.5}{sin~8.4°}=277.24$
$tan~A=\frac{opp}{adj}=\frac{a}{b}=\frac{40.5}{b}$
$b=\frac{40.5}{tan~8.4°}=274.27$
