A ladder 20 feet long whose top is resting against a vertical wall on a level plane begins to slide outward. At the moment when the foot of the ladder is 12 feet from the wall, it is sliding at the rate of 2 feet per second. How fast is the top sliding downwards at this instant? When the foot and top of the ladder are sliding at the same rate, find the distance of the foot from the wall.

A ladder 20 feet long whose top is resting against a vertical wall on

1.	A ladder 20 feet long whose top is resting against a vertical wall on a level plane begins to slide outward. At the moment when the foot of the ladder is 12 feet from the wall, it is sliding at the rate of 2 feet per second. How fast is the top sliding downwards at this instant? When the foot and top of the ladder are sliding at the same rate, find the distance of the foot from the wall.
Answer» ANSWER :`4. 3//2 FT//sec, 10sqrt2 ft`