Chapter 11.4, Problem 32E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Boat docking** Suppose that a boat is being pulled toward a dock by a winch that is 5 ft above the level of the boat deck, as shown in the figure. If the winch is pulling the cable at a rate of 3 ft/min, at what rate is the boat approaching the dock when it is 12 ft from the dock?

To determine

**To calculate:** The rate at which the boat is approaching the dock when it is

Explanation

**Given Information:**

Boat is

And, the winch is pulling the cable at the rate of

**Formula used:**

According to the Pythagoras theorem,

Where,

**Calculation:**

Consider the provided figure,

Now,

As the boat is

Now, differentiate both sides of equation (1) with respect to

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