A river 100 ft wide is flowing north at w feet per second. A dog starts at (100, 0) and swims at vo = 4 ft/s, always heading toward a tree at (0,0) on the west bank directly across from the dog's starting point. If w = 4 ft/s, show that the dog reaches instead the point on the west bank 50 ft north of the tree.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A river 100 ft wide is flowing north at w feet per second.
A dog starts at (100, 0) and swims at vo = 4 ft/s, always
heading toward a tree at (0,0) on the west bank directly
across from the dog's starting point.
If w = 4 ft/s,
show that the dog reaches instead the point on the west
bank 50 ft north of the tree.
Transcribed Image Text:A river 100 ft wide is flowing north at w feet per second. A dog starts at (100, 0) and swims at vo = 4 ft/s, always heading toward a tree at (0,0) on the west bank directly across from the dog's starting point. If w = 4 ft/s, show that the dog reaches instead the point on the west bank 50 ft north of the tree.
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