Boat Docking $28.75 ~\mathrm { ft } / \mathrm { min }$

question 62

Multiple Choice

Boat docking. Suppose that a boat is being pulled toward a dock by a winch that is 24 ft above the level of the boat deck. If the winch is pulling the cable at a rate of 23 ft/min, at what rate is the boat approaching the dock when it is 32 ft from the dock? Use the figure below.

• A) \(28.75 ~\mathrm { ft } / \mathrm { min }\)
• B) \(23.00 ~\mathrm { ft } / \mathrm { min }\)
• C) \(38.33~ \mathrm { ft } / \mathrm { min }\)
• D) \(17.25~ \mathrm { ft } / \mathrm { min }\)
• E) \(13.80 ~\mathrm { ft } / \mathrm { min }\)

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Definitions:

Diamond Rings

Jewelry pieces featuring diamonds set in rings, commonly used as a symbol of commitment in engagements and weddings.

Quantity Supplied

The amount of a good that producers are willing and able to sell at a given price over a specific time period.

No Close Substitutes

A market condition where a product or service has no similar alternatives close enough to serve as a replacement, enhancing its unique value.

Diamonds

Precious stones consisting of a clear and typically colorless crystalline form of pure carbon, often used in jewelry.