A dog runs at a rate of 9 feet per second and swims at a rate of 3 feet per second.  He wants to get to a ball that is floating in a lake.  The ball is 15 feet out in the lake from a point 40 feet down the beach from him, as shown.  Where should he jump in the water to swim to the ball in order to get to the ball as quickly as possible?  Round your answer to at least one decimal place.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter57: Fundamental Geometric Constructions
Section: Chapter Questions
Problem 5A: A carbide milling cutter is used for machining a 27.25-inch length of stainless steel. The cutting...
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A dog runs at a rate of 9 feet per second and swims at a rate of 3 feet per second.  He wants to get to a ball that is floating in a lake.  The ball is 15 feet out in the lake from a point 40 feet down the beach from him, as shown.  Where should he jump in the water to swim to the ball in order to get to the ball as quickly as possible?  Round your answer to at least one decimal place.

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