Given that the measure of ∠A is 11.5°, b = 11.8 meters and c = 6.3 meters.
We need to determine the area of the triangle.
Area of the triangle:
The formula to determine the area of the triangle is given by the formula,
[tex]A=\frac{1}{2}bc \ sin A[/tex]
Substituting the values, we get;
[tex]A=\frac{1}{2}(11.8)(6.3)\ sin 11.5^{\circ}[/tex]
Simplifying the values, we get;
[tex]A=\frac{1}{2}(11.8)(6.3)(0.199)[/tex]
Multiplying the values, we have;
[tex]A=\frac{1}{2}(14.79366)[/tex]
Dividing, we get;
[tex]A=7.4[/tex]
Thus, the area of the triangle is 7.4 m²