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I come from a family line of police, and well... I had this used on me when I ran away from home lol...

What they do is they send a radar message called a "ping to a cell phone tower and this tower then sends a ping which hits your phone, your phone then sends a ping to the nearest 3 cell towers which then give a triangulated area as to where that phone might be. So in a matter of seconds (or minutes) they sent one message and have the approx. location of your phone.

it's accurate within to within three miles to my understanding

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Q: How the location of mobile find out using triangulation method?
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