SOLUTION: In triangle ABC, angle B = 30°, a = 210, and b = 164. The measure of angle A to the nearest degree is?

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Question 816808: In triangle ABC, angle B = 30°, a = 210, and b = 164. The measure of angle A to the nearest degree is?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

In triangle ABC, angle B = 30°, a = 210, and b = 164. 

The measure of angle A to the nearest degree is?

Using the Law of Sines

 %28sin+30%29%2F164+=+%28sin+A%29%2F210

%281%2F2%29%2F164+=+%28sin+A%29%2F210

   105/164 = sin A,  A = 40°  rounded to the nearest degree



θ	radians	sin θ	cos θ	tan θ

0°	0	0	1	0

30°	π/6	1/2	√3/2	√3/3

45°	π/4	√2/2	√2/2	1

60°	π/3	√3/2	1/2	√3

90°	π/2	1	0	─