Answer
$$46.4{{\text{m}}^2}$$
Work Step by Step
$$\eqalign{
& A = {\text{42}}.{\text{5}}^\circ ,b = {\text{13}}.{\text{6 m}},{\text{ }}c = {\text{1}}0.{\text{1 m}} \cr
& {\text{Find the area of the triangle using the formula }}Area = \frac{1}{2}bc\sin A \cr
& Area = \frac{1}{2}\left( {{\text{13}}.{\text{6 m}}} \right)\left( {{\text{1}}0.{\text{1 m}}} \right)\sin \left( {{\text{42}}.{\text{5}}^\circ } \right) \cr
& {\text{Using a calculator}} \cr
& Area \approx 46.4{{\text{m}}^2} \cr} $$
