A dog runs 8 meters to the south, then 6 meters to the west. What is the displacement of the dog from the starting point?
To calculate the displacement, we can visualize the dog's movement as forming a right triangle, where:
The vertical leg represents the southward movement (8 meters).
The horizontal leg represents the westward movement (6 meters).
We can use the Pythagorean theorem to find the displacement (the hypotenuse of the triangle):
Substituting the given distances:
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