## Precalculus (6th Edition) Blitzer

The area of the triangle is approximately $297\text{ square feet}$.
The formula for the area of the triangle, Q, with two sides b and c and an angle A inscribed between those sides, is: $Q=\frac{1}{2}bc\sin A$ Putting the values in the formula, we get \begin{align} & \frac{1}{2}bc\sin A=\frac{1}{2}\left( 20 \right)\left( 40 \right)\left( \sin 48{}^\circ \right) \\ & =400\left( 0.743145 \right) \\ & =297.25793 \\ & \approx 297 \end{align} The area of the triangle is approximately $297\text{ square feet}$.