1. A carrier comprising: a carrier main body that travels on a pathway; a distance measuring sensor that is provided in or on the carrier main body, and measures an intensity of reflected light a plurality of times to obtain a plurality of pieces of measured data; a map data storage that stores map data in which structures provided along the pathway are recorded; and a position calculator that calculates a reference point based on a set of measured data with a light intensity greater than or equal to a predetermined threshold among the plurality of pieces of measured data, and calculates a position of the carrier main body by matching a straight line connecting a plurality of the sets of the measured data to a straight line of the map data using the reference point.