Answer:
B
Step-by-step explanation:
Preliminary
From A, drop a perpendicular to the line BC.
The line BC has to be extended to your right.
Call the intersection point D.
Find angle ABD
ABD and ABC = 180 They are supplementary angles.
140 + ABD = 180
ABD = 40
Find AD
Sin(theta) = AD/AB
AB = 25
Theta = 40
Sin(theta) = AD / 25
Sin(40) = 0.6428
0.6428 = AD / 25 Multiply both sides by 25
AD = 25*0.6428
AD = 16.07
Find the Area of ABC.
The height = 16.07
The base = 40 m
Area = 40*16.07 / 2
Area = 321.4 m^2
