Answer:
[tex] area = 380~cm^2 [/tex]
Step-by-step explanation:
[tex] \dfrac{a}{\sin A} = \dfrac{c}{\sin C} [/tex]
[tex] \dfrac{a}{\sin 30^\circ} = \dfrac{28}{\sin 25^\circ} [/tex]
[tex] a = \dfrac{28 \sin 30^\circ}{\sin 25^\circ} [/tex]
[tex] a = 33.13 [/tex]
A + B + C = 180
30 + B + 25 = 180
B = 125
[tex] area = \dfrac{ac \sin B}{2} [/tex]
[tex] area = \dfrac{33.12 \times 28 \sin 125^\circ}{2} [/tex]
[tex] area = 380~cm^2 [/tex]
