Related Rates
Day 3
4.6
Two boats are approaching a buoy along paths that make a 90 degree
angle. The first boat is 160 feet from the buoy and is traveling at a rate
of 30 feet per second. The second boat is 135 feet from the buoy and
is traveling at a rate of 35 feet per second. Find the rate of change of the
distance between the boats.
An observer stands 20 feet from the base of a flagpole and watches a
flag being lowered at a rate of 5 ft/sec. Determine the rate at which the
angle of elevation from the observer to the flag must be changing at the
instant that the flag is 15 feet above eye-level.
A camera is mounted at a point 3000 ft from the base of a rocket
launching pad. If the rocket is rising vertically at 880 ft/sec when it is
4000 ft above the launching pad, how fast must the camera elevation
angle change at that instant to keep the camera aimed at the rocket?
A 12 foot ladder is leaning against a house. If the bottom of the ladder
is pulled away from the base of the wall at a rate of 3 ft/sec, at what
rate is the angle between the ladder and the ground changing when the
lower end of the ladder is 6 feet from the house?
pg 237 #1-3,9,11-14,16,17,
20-22, 24,31,35
(13,21,31,35 involve angles)
A fish is reeled in at a rate of 1 foot per second from a point 10 feet
above the water. At what rate is the angle between the line and the
water changing when there is a total of 25 feet of line out?