5.8: Intermediate Related Rates
Sand is poured on a beach creating a cone whose radius is always equal to twice its height. If the sand is poured at a rate of 20 cubic inches per second, how fast is the height changing at the time the height is 2 inches? Warm-up
A 13 foot ladder leans against a vertical wall. If the lower end of the ladder is pulled away from the wall at a rate of 2 feet per second, how fast is the top of the ladder coming down the wall at the instant the top is 12 feet above the ground? The ladder problem
The shadow problem A man that is 6 feet tall walks away from a 22 foot light post at some constant rate, if his shadow length is changing at a rate of 3 feet per second, at what rate is the man walking?