Yes, but that's still a geometry problem. Don't get me wrong, geometry was my favorite branch of mathematics in school, but I don't see how this is relevant for most software engineering jobs.

I guess this type of question might serve the purpose of finding like-minded people with similar interests (in your case geometry or puzzles) but it might alienate others.

Most folks require calculus to solve it. Give it a try!

great, now I need a new branch of math to be able to continue, lol!

I solved a very similar problem (in the context of a pathfinding and obstacle avoidance sim) 25 years ago, and I can probably describe the thought process and geometry in very digestible terms, but if I had to code it in a whiteboard I'd likely fail.

Same here. I don't code with somebody looking over my shoulder. Can't perform that way. :)