It was a long time ago but hopefully my army radio op training assists some of the members who are unfamiliar with the principles of signal triangulation.
As you can see from my crude sketch, a signal from a device is not given on a precise bearing. ie the further the tower (or locating receiver) is located from the transmitting device (in this case a phone), the wider the margin of error.
The common point (the area within the lines of all THREE pings) indicates the location of the device.
When LE say that the phone was never more than 1/3 mile from the house, IMO they may well mean this common area was 1/3 mile in radius from its center. In other words the phone may never have left the house, but they are unable to state that with certainty