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?

anonymous · Answer

I got a the answer is 8.5 but how do you do b step by step

anonymous · Answer

I would like to restate what i be leave to be the correct for part a is $$-2\sqrt(3)$$
And for b) i outlined what i thought was correct procedure.