A cell tower

A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?

Result

x =  0

Solution:

d1=12 d2=(44)2+(75)2=4 1314.4222  d2>d1  x=0d_{1}=12 \ \\ d_{2}=\sqrt{ (-4-4)^2+(-7-5)^2 }=4 \ \sqrt{ 13 } \doteq 14.4222 \ \\ \ \\ d_{2}>d_{1} \ \\ \ \\ x=0



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Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Do you want to convert length units?
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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