Related Rates Worksheet A 25 foot long ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1 ft/sec, and the bottom of the ladder is initially 20 feet away from the wall, how fast does the ladder move up the wall 5 seconds after we start pushing? Step 1 Step 2 Step 3 Step 4 Step 5 A 6 foot tall person walks away from a 10 foot tall lamppost at a constant rate of 3 ft/sec. What is the rate that the tip of the shadow moves away from the pole when the person is 10 feet away from the pole? Step 1 Step 3 Step 4 Step 5 Gravel is being unloaded from a truck and falls into a pile shaped like a cone at a rate of 10 ft3/min. The radius of the cone base is always three times the height of the cone. Find the rate at which the height of the gravel cone changes when the pile has a height of 5 feet. Step 1 Step 2 Step 3 Step 4 Step 5