4. A 13-foot ladder is leaning against a wall. Jimbo grips the bottom of the ladder, and begins pushing it towards the wall, which causes the top of the ladder to begin moving UP the wall. This also causes the angle formed between the bottom of the ladder and the floor to increase at a rate of 0.4 radians/sec. The ceiling in this room is only 12 feet high, so at some point the top of ladder will slam into the ceiling. a) Draw and label a picture to help organize the quantities in this problem. b) How high will the top of the ladder be off the ground when it hits the ceiling? HINT: This requires no math. c) What will the angle be between the bottom of the ladder and the floor when the top hits the ceiling? d) At what speed (along the wall) will the ladder hit ceiling? In other words, at what RATE will the top of the ladder be rising along the wall when it hits the ceiling