A 17 foot ladder is leaning against a wall. It is sliding down the wall at a rate of 2ft/min. (a) How fast is the ladder moving away from the wall when the top is 15 feet from the ground? (b) How fast is the area enclosed by the ladder changing when the top is 15 feet from the ground? (c) How fast is the angle at the ground changing when the top is 15 feet from the ground?

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A: The diagram of the situation is shown below:

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A: SOLUTION-

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A: We can find the answer as below.

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the…

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A: →cosθ = BaseHypotenuse→sinθ = 1-cos2θ→dcosθdθ = -sinθ

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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A: A ladder with 10 ft resting on a wall is shown in below figure.

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A: Given:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A 13-ft ladder is leaning against a house when itsbase starts to slide away. By the time thebase is…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A ladder 10 ft long leans against a vertical wall. If the bottomof the ladder slides away from the…

A: Given - A ladder 10 ft. long leans against a vertical wall. If the bottom of the ladder slides away…

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A: This question is based on application of derivative.

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