You’re a hoot! All that sophisticated dithering and equational BS and you *still* don’t have an answer (because you’ve decided you don’t know the angle).
Dude! It’s a JOKE! And clearly a 3-4-5 right triangle. :-)
Hold a sheet of paper up to it if you’re not sure. That’s what Thomas Edison would do.
I’m glad I’m not paying you to do anything for me. I’d go broke.
Are you a lawyer? Or a politician?
It’s not a right triangle. You’re assuming a fact not in evidence from the diagram.
First: it's not "sophisticated." It's high school math. Second, to within the given facts, I've given you the only answer there is sqrt(25-24cos(angle)). Properly identify the angle, and I'll tell you what the length is. Third, Edison was a worthless hack, who cheated Tesla and his other scientists out of money they earned. If Edison had had his way, the nighttime map of the US would be as dark as NoKorea. Fortunately, Tesla and Westinghouse prevailed.