SOLUTION: Find the area of triangle ABC if A = 6°, a = 24 mm, b = 62 mm

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Question 765352: Find the area of triangle ABC if A = 6°, a = 24 mm, b = 62 mm
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Using Sine Rule
a/Sin A = b/Sin B
24/sin(6) = 62/ Sin(x)
Sin(x) = (sin(6) * 62)/24
Sin(x) = 0.27
x = 15.7 degrees.
Adding known angles 6 + 15.7 = 21.7
180 - 21.7 = 158.3 degrees (Angle C)
Area = 1/2 * a * b * Sin(C)
= 1/2 * 24 * 62 * sin(158.3)
= 275.1mm^2
Hope this helps.
:-)