ANSWER
56.1 square inches.
Step-by-step explanation
The area of this triangle can be calculated using the formula,
![Area = (1)/(2) ab \sin( C)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v4r1gvz0pv5j5hddnbcreo5ilfjgghleuq.png)
where a=8in.
b=14.2 in.
and C=99° is the included angle.
We plug in these values to obtain,
![Area = (1)/(2) * 8 * 14.2 \sin( 99 \degree)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rpvnpscmkjlrwxkwz9wrtd1r0k9sd18z3s.png)
![Area = 56.1007](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bcnn3k8i9r2feiv0iw6862rvid0o130xgr.png)
We round to the nearest tenth to get,
56.1 sq. inch