Abstract: A positioning system includes an elevation angle calculator that determines, as a second elevation angle, an inverse cosine of a first value, upon occurrence of a condition in which an absolute value of a first elevation angle is greater than or equal to a second predetermined angle, the second predetermined angle being greater than a first predetermined angle, the first value being obtained by dividing a second value that is obtained by correcting, with a correction value, an altitude measured by an altitude measurement unit, by a distance measured by a distance measurement unit. The elevation angle calculator selects any one of the first elevation angle and the second elevation angle, based on a value of the first elevation angle.

Abstract: An angle measuring device includes an antenna device having antenna elements equally spaced along a first axis and a second axis, respectively, a selecting unit that selects phase differences with which a variance thereof becomes a predetermined value or less, from a plurality of phase differences of signals received from a transmission device by the antenna elements, an azimuth angle computing unit that computes an azimuth angle of the transmission device from a ratio of a first phase difference between signals received by two antenna elements spaced by a predetermined distance along the first axis and a second phase difference between signals received by two antenna elements space by the predetermined distance along the second axis, and an elevation angle computing unit that computes an elevation angle of the transmission device, based on the computed azimuth angle and the first or second phase difference.