ANSWER
56.1 square inches.
EXPLANATION
The area of this triangle can be calculated using the formula,
[tex]Area = \frac{1}{2} ab \sin( C) [/tex]
where a=8in.
b=14.2 in.
and C=99° is the included angle.
We plug in these values to obtain,
[tex]Area = \frac{1}{2} \times 8 \times 14.2 \sin( 99 \degree) [/tex]
[tex]Area = 56.1007[/tex]
We round to the nearest tenth to get,
56.1 sq. inch
