If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.
Given the following data:
To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.
Note: The diagonal side of the rectangular pool represents the hypotenuse.
Mathematically, Pythagorean's theorem is given by the formula:
[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}[/tex]
Hypotenuse = 10 meters.
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