Answer
$B =26.8^\circ \hspace{10pt} A =126.4^\circ \hspace{10pt} a = 65.69 \,$ km
Work Step by Step
$\because b = c \hspace{20pt} \therefore \sin{B} = \sin{C}$
$\therefore B = C = 26.8^\circ$
$B' = 180-B = 153.2^\circ$
$C+B' = 180 \hspace{10pt} \therefore B'\,$ is refused.
$A = 180-(C+B) = 126.4^\circ$
$ a = \dfrac{c \sin{A}}{\sin{C}} = \dfrac{36.8 \times \sin{126.4^\circ}}{\sin{26.8^\circ}}$
$a = 65.69 \,$ km
