Answer
$$732{\text{ f}}{{\text{t}}^2}$$
Work Step by Step
$$\eqalign{
& C = {\text{72}}.{\text{2}}^\circ ,b = {\text{43}}.{\text{8 ft}},a = {\text{35}}.{\text{1 ft}} \cr
& {\text{Find the area of the triangle using the formula }}A = \frac{1}{2}ab\sin C \cr
& A = \frac{1}{2}\left( {{\text{35}}.{\text{1 ft}}} \right)\left( {{\text{43}}.{\text{8 ft}}} \right)\sin \left( {{\text{72}}.{\text{2}}^\circ } \right) \cr
& {\text{Using a calculator}} \cr
& A \approx 732{\text{ f}}{{\text{t}}^2} \cr} $$
