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. If you consider the triangle formed by the ladder, the wall, and the ground, at what rate is the area of the triangle changing when the base of the ladder is 10 feet from the wall? What does the sign of your answer (whether it is positive or negative) say about the area of the triangle at that moment?
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.
If you consider the triangle formed by the ladder, the wall, and the ground, at what rate is the area of the triangle changing when the base of the ladder is 10 feet from the wall?
What does the sign of your answer (whether it is positive or negative) say about the area of the triangle at that moment?
Would you expect the rate at which the area is changing to have the same sign (positive or negative) when the base of the ladder is any distance from the wall?
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