a 20-ft. ladder is leaning against a wall but is left unattended and starts to slide down the wall. after 3 seconds, the top of the ladder is 12 feet above the floor and is sliding further down the wall at a rate of 9 ft. per second. how fast is the foot of the ladder sliding away from the wall at that point in time? (b) what is the rate of change of the area of the triangle formed by the ladder, the floor, and the wall at that point in time?