A uniform ladder 6.90 m long weighing 440 N rests with one end on the ground and the other end against a perfectly smooth vertical wall. The ladder rises at 58.0 ° above the horizontal floor. A 765 N painter finds that she can climb 3.00 m up the ladder, measured along its length, before it begins to slip.
1. What force does the wall exert on the ladder?
2. Find the friction force that the floor exerts on the ladder.
3. Find the normal force that the floor exerts on the ladder.