Hello, I got 36.9 degrees for this, is it correct?
We need to find the other leg = sqrt ( 18.9^2 - 11.4^2) = sqrt ( 227.25) ≈ 15.07
The smallest angle will be opposite the shortest side
So let theta be the smallest angle...and we have that
tan (theta) = shorter leg / longer leg
tan (theta) = 11.4 / sqrt (227.25)
To find theta use the arctan and make sure your calculator is in degree mode
arctan ( 11.4 /sqrt ( 227.25) ) = theta = 37.1°