Originally Posted by

**amanda0603** hello all!

If anybody could helo i'd appreciate it!

For B=28degrees50minutes, a=13.5, b=8

I got that it was an ambiguous case and had 1 solution. Just wanted to see if I got that correct...

two solutions, because

$\displaystyle \textcolor{red}{a\sin{B} < b < a}$

Also solve this triangle....

B=36.9degree

b=5.40

a=19.9

I got that it would not have a solution b/c it give you like 2.2 and once you do the arcsin, it falls outside of the interval (-1,1)....I just wanted to see if that was correct?

correct, no triangle is possible because

$\displaystyle \textcolor{red}{b < a\sin{B}}$