Methods for geolocation utilizing electronic distance measurement equipment. The methods select a small subset of available data that is most trustworthy, and then mathematically treats the subset of data (preferably bilateration or trilateration) to compute one or more new measured position candidates. One measured position candidate may be chosen among the measure position candidates based on confidence metrics, relative position geometry, and the comparison with history-based predicted position and its respective confidence metric. In a case where no measured position candidates of sufficient confidence are available, the predicted position is taken as the new position.