As given by the question
There are given that the angle and two sides
Now,
From the formula of area of the triangle, when angle and two sides are given
[tex]A=\frac{1}{2}ab\sin C[/tex]Then,
Put the value a,b, and angle C into the given formula
So,
[tex]\begin{gathered} A=\frac{1}{2}ab\sin C \\ A=\frac{1}{2}\times16\times22\times\sin 81^{\circ}33^{\prime} \\ A=8\times22\times\sin 81^{\circ}33^{\prime} \\ A=174.1 \end{gathered}[/tex]Hence, the value of the area is 174.1.
