Traditional analysis of the triangulation ranging problem utilizes Gaussian distributed angular error models. Since in the true physical phenomena, the angular errors are bounded, the analysis in this paper employs a beta-type density function with finite limits to more realistically model the angular measurement errors. The resultant estimated range density function, the mean range, and standard deviation, together with the associated maximum positive and negative angular error limits over which these statistics are valid, are determined. While the standard deviation for the range error increases approximately four times for a doubling of the exact range, this approximation is shown to be valid for only a finite band of exact range values. © 1979, American Association of Physics Teachers. All rights reserved.