How much farther should the bottom be pulled away from the wall so that the top moves the same amount down the wall?

Question

A 5 foot long pole leans against a wall. The bottom is 3 feet from the wall. How much farther should the bottom be pulled away from the wall so that the top moves the same amount down the wall?

Answer 1

Draw a diagram and label

 

The ladder forms a 3, 4, 5 triangle with the wall. 

When the distance from the wall increases by 1, the top moves down by 1.