ORIGINAL: ARUP
Sin theta = opposite/adjacent. That's all you need to know to figure any angle, any time, anywhere.
Not trying to be picky, but - Slight correction: sin theta = opposite/hypotenuse
tan theta = opposite/adjacent
For small angles they will be close to each other but we might as well get it right.
Maybe we need one of Minnflyer's graphical simulations.....