Answer
$$B = {23.75^ \circ },\,\,a = 4099.79{\text{yd}},\,\,\,\,b = 1718.58{\text{yd}}$$
Work Step by Step
$$\eqalign{
& C = {50.15^ \circ },\,\,\,A = {106.1^ \circ }{\text{,}}\,\,\,c = 3276{\text{yd}} \cr
& \cr
& {\text{Find }}B \cr
& B = {180^ \circ } - A - C \cr
& B = {180^ \circ } - {106.1^ \circ } - {50.15^ \circ } \cr
& B = {23.75^ \circ } \cr
& \cr
& {\text{Use the law of sines to find side }}a \cr
& \frac{a}{{\sin A}} = \frac{c}{{\sin C}} \cr
& a = \frac{{c\sin A}}{{\sin C}} \cr
& a = \frac{{3276\sin \left( {{{106.1}^ \circ }} \right)}}{{\sin \left( {{{50.15}^ \circ }} \right)}} \cr
& {\text{Use a calculator}} \cr
& a = 4099.79{\text{yd}} \cr
& \cr
& {\text{Use the law of sines to find side }}b \cr
& \frac{b}{{\sin B}} = \frac{c}{{\sin C}} \cr
& b = \frac{{c\sin B}}{{\sin C}} \cr
& b = \frac{{3276\sin \left( {{{23.75}^ \circ }} \right)}}{{\sin \left( {{{50.15}^ \circ }} \right)}} \cr
& {\text{Use a calculator}} \cr
& b = 1718.58{\text{yd}} \cr
& \cr
& {\text{Answer}} \cr
& B = {23.75^ \circ },\,\,a = 4099.79{\text{yd}},\,\,\,\,b = 1718.58{\text{yd}} \cr} $$
