Answer
$$20.267{\text{ f}}{{\text{t}}^2}$$
Work Step by Step
$$\eqalign{
& a = {\text{6}}.{\text{9}}0{\text{ ft}},b = {\text{1}}0.{\text{2 ft}},C = {\text{35}}^\circ {\text{1}}0\prime \cr
& {\text{Find the area of the triangle using the formula: }}Area = \frac{1}{2}ab\sin C \cr
& Area = \frac{1}{2}\left( {{\text{6}}.{\text{9}}0{\text{ ft}}} \right)\left( {{\text{1}}0.{\text{2 ft}}} \right)\sin \left( {{\text{35}}^\circ {\text{1}}0\prime } \right) \cr
& {\text{Using a calculator}} \cr
& Area \approx 20.267{\text{ f}}{{\text{t}}^2} \cr} $$
