A suspect flees the scene of a crime in an unknown direction at a constant speed of 8 miles/hour. Police computers create a circle that includes the area in which they might find the suspect. After 15 minutes, what is the rate at which the area of the circle is increasing? The radius of a circle is increasing. At a certain instant, the rate of increase of the area of the circle is three times the rate of increase of its circumference. What is the radius of the circle at that instant? A 13 foot ladder is sliding down a wall at a rate of 2 feet/sec. What is the rate at which the bottom of the ladder is moving away from the wall when the top of the ladder is 12 feet high on the wall? 10. A kite is rising into the air at 8 ft/sec. The man holding the kite is a horizontal distance of 50 feet away from the kite, and is releasing the line, which is kept taut. When the kite reaches a height of 70 ft, what is the rate at which the line is being released? Round to three decimal places. 50 ft 70 ft 8 ft/sec