Answer
The area of the triangle is approximately $\text{157 square meters}$.
Work Step by Step
Area of the triangle $=\frac{1}{2}ac\sin C.$
Putting the values in the formula, we get
$\begin{align}
& \frac{1}{2}ac\sin C=\frac{1}{2}\left( 16 \right)\left( 20 \right)\left( \sin 102{}^\circ \right), \\
& \approx 157.
\end{align}$
The area of the triangle is approximately $157$ square meters.
