A ladder of unknown length and mass of 29 kg rests on a rough floor, and leans against a rough wall. The coefficient of static friction between the ladder and both the floor and wall are 0.68. Hanging on the ladder are two masses. The first mass is 9.9 kg and is located 5% from the ladder's base. The second mass is 7.1 kg and is located 4% from the top of the ladder. What is the smallest angle (in degrees) between the floor and ladder that the ladder can be set at where it and its masses will not slide?