SOLUTION: To the nearest degree, find the measure of angle B in Triangle ABC given measure of Angle A=31 degrees, AC=36 and AB=35

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Question 469051: To the nearest degree, find the measure of angle B in Triangle ABC given measure of Angle A=31 degrees, AC=36 and AB=35
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
First use Law of Cosines to determine 3rd side BC.
Let x = BC
x%5E2+=+35%5E2+%2B+36%5E2+-+2%2835%29%2836%29cos%2831%29
x+=+19
Then use Law of Sines to determine angle B.
sin%28B%29%2F36+=+sin%2831%29%2F19
sin%28B%29+=+.976
B+=+77.4
Therefore angle B to nearest degree is 77 degrees.