A person 11 miles west and 12 miles south of the tower will not have coverage.
A circle is a closed curve that is drawn from a fixed point. This point is called the center. All points on the curve are equidistant from this center point.
The cell phone tower covers a circular area with radius 15 miles. This means that there will be coverage in all directions from center up to 15 miles.
The person is 11 miles west and 12 miles south of the tower.
Distance of person from center will be calculated using distance formula
[tex]d = \sqrt{(11^{2} + 12^{2} }[/tex]
∴ [tex]d = \sqrt{121 + 144}[/tex]
∴ [tex]d = 16.27[/tex] miles.
Since this distance is greater than the radius of circle (15 miles), the person will not have cell phone coverage.
To learn more about circles, refer to this link:
brainly.com/question/23519482
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