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Here is another look at what is given in the problem. I think we should concentrate on these 3 radiuses. Point "q" is the place where they met. So we have an angle whose sin equals 4'. And whose creates and arc whose lenght equals 5'.

I have tried to work on a new way to solve for these values. But every method I try you have to find the value of the angle at "q." This is why I invented the Scos and Ssin to work backwards and find the angle and radius. But ever attempt has failed because I still need to know the radius or the angle. So if anyone can find the angle this problem is solved.

 

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