I received many requests for this challenging problem. Can you solve it? Thanks to Toli for the suggestion!

Geometry solution in method 1
http://128.192.17.191/EMT668/E....MAT6680.F99/Estes/15
Another geometry solution
http://128.192.17.191/EMT668/E....MAT6680.F99/Estes/15
Trigonometry solution
http://128.192.17.191/EMT668/E....MAT6680.F99/Estes/15
Go Geometry discussion
https://gogeometry.blogspot.co....m/2009/11/problem-39
https://drive.google.com/file/....d/1A0Az5nJ9wGBwcM2F4

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