Respuesta :

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

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