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 mass 1/2M stands on the ladder a distance d from its base. What's the largest value for d in centimeters, so the ladder won't slip? Assume the ladder is 4.5 m long, the coefficient of friction is 0.54, the ladder is at an angle of 46°, and the ladder has a mass of 85 kg.

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Chapter1: Units, Trigonometry. And Vectors
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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 mass 1/2M stands on the ladder a distance d from its base. What's the largest value for d in centimeters, so the ladder won't slip? Assume the ladder is 4.5 m long, the coefficient of friction is 0.54, the ladder is at an angle of 46°, and the ladder has a mass of 85 kg. 

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