I was just wondering if anyone can explain the Law of Sines- "Ambiguity Case" to me, in a way that is easy to understand.

Answer 1

I guess what you might mean is due to the fact that sin (180 - A) = sin A when A is between 0 and 90 degrees
so for example sin 150 = sin 30 = .5
Now when we go to use law of sines
sin A/a = sin B/b
say A = 30 and sin A = .5
then
.5/a = sin B/b
but you would get a very different triangle with the same sin A = .5 if A were 150 degrees.