Answer
$$290{\text{ }}{{\text{m}}^2}$$
Work Step by Step
$$\eqalign{
& A = {\text{34}}.{\text{97}}^\circ ,b = {\text{35}}.{\text{29 m}},c = {\text{28}}.{\text{67 m}} \cr
& {\text{Find the area of the triangle using the formula }}Area = \frac{1}{2}bc\sin A \cr
& Area = \frac{1}{2}\left( {{\text{35}}.{\text{29 m}}} \right)\left( {{\text{28}}.{\text{67 m}}} \right)\sin \left( {{\text{34}}.{\text{97}}^\circ } \right) \cr
& {\text{Using a calculator}} \cr
& Area \approx 290{\text{ }}{{\text{m}}^2} \cr} $$
