https://math.stackexchange.com/questions/2386333/how-do-you-find-the-length-...
hiya david: okay! so someone kindly edited the question to put the proper links in, so the question's actually understandable.
so... benson.... with the diagrams that aretino kindly added, i was able to not only understand what he was saying, but, also, understood it well enough to appreciate that *your* answer is correct :)
aretino recommends using arccos instead of arcsin.
l.