As the boat is pulled into the dock, the rope creates a right triangle where the vertical leg is the 5 feet from the dock to the boat, and the horizontal leg represents the distance from the boat to the dock. The length of the rope can be calculated using the Pythagorean theorem, where the length of the rope is the hypotenuse. The angle of elevation and the horizontal distance can also be determined based on the position of the boat relative to the dock. This setup illustrates the principles of geometry and trigonometry in real-world applications.
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