https://math.stackexchange.com/questions/2386333/how-do-you-find-the-length-and-angle-of-a-belt-between-two-pulleys-both-outer-e/

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.

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