ANSWER
The area of the triangle is 48.6 square feet to the nearest tenth.
Step-by-step explanation
The area of the triangle is calculated using the formula
![Area= (1)/(2) bc \sin(A)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bv0hupp585m1xlbt4rvyyyeccujcaw0rf4.png)
where A=94° is the included angle, b=7.5 inches and c=13 inches.
We substitute the values into the formula to obtain:
![Area= (1)/(2) * 7.5 * 13 \sin(94 \degree)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s38k50hc87rovqoys3ho0zxyxgc6pzh8r7.png)
Area=48.6 ft² to the nearest tenth.