Nu its copypasta
Mmmmmm pasta
It really isn't.
what an unecessarily complicated way of doing a very simple thing
it's a lot easier and makes a lot more sense to do it like this:

Its all very well, but, seeing as he didn't use a graphics calculator to solve for A, which we always did in high school, I went for the long way which teachers like, and assumed he didn't have a calculator at all.
Besides, mine refers to the unit circle, and gets an answer in whole values, not decimals.
If we answered in decimals in university/high school calculus we got failed, and you would have got failed for that too, as it likely asks for an exact answer.
You used inverse sine at the end of yours, which is all very well, but you
rounded, which immediately introduces some error. In my school, they always asked for the /exact/ value, which is, half of the time, a square root. Your answer would have technically been: 20.67091869... etc. which is no good for exaction. My 'unnecessarily complicated' way leads to a nice and simple answer.
The unit circle is sensible anyway, and is what trigonometric identities are built off, and you have to learn it anyway.