ANSWER
The area of the triangle is 6.64 square feet.
EXPLANATION
The area of the given triangle is calculated using the formula
[tex]Area = \frac{1}{2} ab \sin(C)[/tex]
where C=62° is the included angle.
a=4.7 ft and b=3.2 ft.
We plug in the values into the formula to get:
[tex]Area = \frac{1}{2} \times 4.7 \times 3.2\sin(62 \degree)[/tex]
Area=6.64 ft² to the nearest hundredth.
