A 26 foot step ladder is leaned up against a 30 foot building to reach a window near the top. The ladder is being pushed toward the building in a horizontal direction of 2 feet per second.
1. Find each related rate when the ladder is 10 feet away from the building.
a. How fast is the distance between the top of the ladder and the top of the building shrinking?
b. How fast is the angle of elevation created between the ladder and the ground changing?
c. What is the rate of change of the area of of the triangle formed between the ladder, the building, and the ground?
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