SOLUTION: In triangle ABC, tanA= 3/4, tanB= 1, and a=10; find b in simplest radical form. I've tried this many times but i just can get the answer right.

Question 356567: In triangle ABC, tanA= 3/4, tanB= 1, and a=10; find b in simplest radical form.
I've tried this many times but i just can get the answer right.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In triangle ABC, tanA= 3/4, tanB= 1, and a=10; find b in simplest radical form.
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If tan(B) = 1, B = 45 degrees
If tan(A) = 0.75, A = 36.87 degrees
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Using Law of Sines:
b/sinB = a/sinA
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b/sin(45) = 10/sin(36.87)
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b = 10sin(45)/sin(36.87)
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b = 11.79
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Cheers,
Stan H.
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