A non-time of flight or time of arrival position location system for accurate determination of a user's location in an enclosed, indoor, or covered environment can include a number of beacons mounted in an arrangement within the environment. Each of the beacons is mounted in a known location and transmits a broadcast signal containing a unique identifier that identifies the originating beacon. A handheld electronic device including a receiver and a communicably coupled processor can receive broadcast signals from at least some of the number of beacons, iteratively determine a vector quantity corresponding to each of the received signals, and sum the resultant vector quantities to determine an updated position. The iterative process can be repeated until consecutive iterations yield an updated position that falls within a defined threshold.