I am building an indoor basketball court room, with hoop floor surface and hoop, in a small room which is 15ft wide (insignificant) and 29 feet long. The ceiling is 15 feet 8 inches high currently from concrete slab to the ceiling framing. My question is, if a 6ft 4" person is 26 ft away from a 10ft high basketball rim and shooting a basket (which leaves his hand at a 45 degree angle, what is the maximum heght (celing to zenith) of the arc of the ball before it reaches the hoop? Hopefully it is less than 15 feet 8 inches, or we will need to physically drop the floor!

Part 2) What is the maximum ball height in flight if the ball leaves the same players hand at a 60 degree angle? Thank you very much!