A uniform stationary ladder of length L and mass M leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ. The ladder makes an angle θ with respect to the floor. A painter of weight 1/2M stands on the ladder a distance d from its base. What is the largest value for d, in centimeters, such that the ladder will not slip? Assume that ladder is 5.5 m long, the coefficient of friction is 0.64, the ladder is at an angle of 46°, and the ladder has a mass of 85 kg.