I have tried using the distance formula and could solve for 1 variable or the other. I know to solve for 2 variables you must have 2 equations. I am just struggling to figure out what the second equation would be and hoping it doesn't involve calculus because I haven't taken it in like 15 years since college. lol. I'm assuming there's a derivative equation to figure out the minimum angle of T but I'm not sure what it would be.

Please review the following problem, diagram, and my shown work and any help would be greatly appreciated. Thank you so much for your time!!!