Answer
$$722.9{\text{ i}}{{\text{n}}^2}$$
Work Step by Step
$$\eqalign{
& A = {\text{56}}.{\text{8}}0^\circ ,b = {\text{32}}.{\text{67 in}}.,c = {\text{52}}.{\text{89 in}} \cr
& {\text{Find the area of the triangle using the formula }}Area = \frac{1}{2}bc\sin A \cr
& Area = \frac{1}{2}\left( {{\text{32}}.{\text{67 in}}} \right)\left( {{\text{52}}.{\text{89 in}}} \right)\sin \left( {{\text{56}}.{\text{8}}0^\circ } \right) \cr
& {\text{Using a calculator}} \cr
& Area \approx 722.9{\text{ i}}{{\text{n}}^2} \cr} $$
