notes10-16 - 15 foot tall light pole. (As depicted,...

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Related Rates Examples In each of these problems, be sure to — Name the quantities that are changing. — Write an equation that relates them. — DiFerentiate (abstractly) with respect to time. — Plug in and solve. 1. (20 pts.) A ladder is sliding down a wall as shown at right. If the top of the ladder is moving at - 3 feet per second, how fast is the angle θ changing when the bottom of the ladder is 8 feet from the wall? (The length of the ladder does not change!) θ 2. A 6 foot tall man is walking uphill away from a
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Unformatted text preview: 15 foot tall light pole. (As depicted, hopefully, at right.) If the length of his shadow is changing at 1 . 2 ft/s, how fast is he walking? 15 6 1 3. Same hill, same pole, same man, same speed. If the hill slopes up at 15 ◦ , how fast is the angle α changing when the shadow is 7 feet long? 15 6 π/12 α 4. The trough at right is Flling with water at a rate of 10 ft 3 / min. How fast is the water level rising when the water is 1 foot deep? 2 ft 1.5 ft 3 ft 4 ft 2...
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This note was uploaded on 10/12/2011 for the course MATH 170 taught by Professor Staff during the Fall '08 term at Boise State.

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notes10-16 - 15 foot tall light pole. (As depicted,...

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