Answer:
The correct option is C.
Step-by-step explanation:
Given information: AB=20.4, BC=17.7 and ∠ B = 99 °.
It two sides and their inclined angle is given then the area of the triangle is
[tex]A=\frac{1}{2}ab\sin C[/tex]
Where, a and b are two sides of a triangle and C is their inclined angle.
The area of given triangle is
[tex]A=\frac{1}{2}\times 20.4\times 17.7 \sin 99^{\circ}[/tex]
[tex]A=178.317253[/tex]
[tex]A\approx 178.3[/tex]
The area of the triangle ABC is 178.3 square units. Therefore the correct option is C.
