Answer
$B = 34.89^\circ \hspace{10pt} A =117.277^\circ \hspace{10pt} a = 660.56 \,m$
$B' = 145.11^\circ \hspace{10pt} A' = 7.057^\circ \hspace{10pt} a' = 91.308 \, m$
Work Step by Step
$\sin{B} = \dfrac{b \sin{C}}{c} = \dfrac{425 \sin{(27.833^\circ)}}{347}$
$\sin{B} = 0.572$
$B = 34.89^\circ\hspace{40pt} B' = 145.11^\circ$
$A = 180-(B+C) = 117.277^\circ$
$a = \dfrac{c \sin{A}}{\sin{C}} = \dfrac{347 \times \sin{117.277}}{\sin{27.833}}$
$a = 660.56 \,m$
$B' + C < 180 \hspace{10pt} \therefore B'$ is valid.
$A' = 180-(B+C') = 7.057^\circ$
$a' = \dfrac{c \sin{A'}}{\sin{C}} = \dfrac{347 \times \sin{7.057}}{\sin{27.833}}$
$a' = 91.308 \, m$
