A 5 m tall ladder is leaning against a wall, and the bottom starts sliding away from the wall at a rate of 1 m/s. Question: How fast is the top of the ladder moving when the bottom is 3 m from the wall? To answer the question, you should complete the following steps: 1. Draw a picture and identify all of the relevant variables. 2. Identify the known and unknown rates. 3. Find an equation relating the variables. 4. Differentiate the equation you found in 3. 5. Plug in the known information to solve for the unknown rate