1. A 12-foot ladder is leaning against a wall that makes a 90-degree angle with the ground. A troublemaker is slowly pulling the bottom of the ladder along the ground, away from the wall at a rate of 2 feet per minute when the top of the ladder is 6 feet above the ground.
a. At that moment, how fast is the top of the ladder moving down the wall?
b. At that moment, what is the rate of change of the angle between the ladder and the ground?

Question

1.	A 12-foot ladder is leaning against a wall that makes a 90-degree angle with the ground.  A troublemaker is slowly pulling the bottom of the ladder along the ground, away from the wall at a rate of 2 feet per minute when the top of the ladder is 6 feet above the ground.
a.	At that moment, how fast is the top of the ladder moving down the wall?
b.	At that moment, what is the rate of change of the angle between the ladder and the ground?