First, I refer you to Martin Yant’s earlier post on this subject: https://wrongfulconvictionsblog.org/2012/05/10/cell-phone-evidence-doesnt-always-ring-true/
The post makes the point that data from a single cell tower is essentially worthless in trying to place someone in a particular location. The best you can expect is a band within a 120° “pie wedge” from the cell tower.
If two cell towers are used, it gets much better, and if three towers are used it gets even better yet. But to make sure this kind of evidence doesn’t get misused, and to know what it’s limitations are, it’s important to know how it works.
You may have noticed that the antennas on a cell tower are always arranged in a triangle. There are some sound technical and economic reasons for this, but we won’t go into that here. But it does mean that a cell tower can tell from which of the three antenna arrays it is receiving a signal. Each of the three antenna arrays covers a 120° sector with the tower at it’s focus, and these sectors, by convention, are referred to as alpha, beta, and gamma - α, β, γ.
Within each sector, the tower can make a measurement of how far away the transmitting cell phone is. This is done by measuring signal strength and the round-trip signal time. For a lot of technical reasons, this is not a very accurate measurement, and the determined distance will have a reasonably significant error band.
Here is a diagram of a single cell tower showing concentric bands of distance from the tower, and the three “sectors”. The distance bands don’t stop at “6”, but this is just to give you the idea. Note that at six miles out, the arc of a sector is 12.6 miles long.





