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A 13-foot ladder is leaning against a house when its base begins to slide away. By...

A 13-foot ladder is leaning against a house when its base begins to slide away. By the time the base is 12 feet from the building the base is moving at 5ft/sec.

a) at what rate is the area of the traingle formed by the ladder changing then?

b) at what rate is the angle theta between the ladder and the ground changing then
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