A 26 foot ladder is sliding down a vertical wall. The base of the ladder is sliding away from the wall at a rate of 3 feet per minute. What is the angle between the ladder and the ground and the angle between the base and the ladder? At what rate is the angle between the ladder and the ground changing when the base of the ladder is 10 feet from the wall? Would you expect the angle to be decreasing at a more rapid rate when the ladder is closer to a vertical position or a horizontal position?
A 26 foot ladder is sliding down a vertical wall. The base of the ladder is sliding away from the wall at a rate of 3 feet per minute.
What is the angle between the ladder and the ground and the angle between the base and the ladder?
At what rate is the angle between the ladder and the ground changing when the base of the ladder is 10 feet from the wall?
Would you expect the angle to be decreasing at a more rapid rate when the ladder is closer to a vertical position or a horizontal position?
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