SOLUTION: Determine whether this triangle has no solution, one solution, or two solutions. A= 60°, a=9, b=6

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Question 1037233: Determine whether this triangle has no solution, one solution, or two solutions. A= 60°, a=9, b=6
Answer by Aldorozos(172) About Me  (Show Source):
You can put this solution on YOUR website!
Please see below
http://mathforum.org/library/drmath/view/62579.html
You have two solutions
sinA/a = sinb/b
sin 60 = square root of 3 divided by 2 This number is around .7
.7/9 = sinB/6 Therefore sinB = .7*6/9 = 4.2/9 This number is slightly less than .5 If the sinB is around .5 we can have two angles that have sins that are .5. These two angles are around 30 degrees and 150 degrees. Therefore, there are two solutions to this problem.