The possibility of calculating angular values from linear measurements with an accuracy that can compete with their measured values is considered and investigated. Since in many cases such a definition is almost the only possibility of setting the values of angular parameters, for example, when it is placed in space. The proposed method of increasing the accuracy of calculations by changing the location of the total station, which makes it possible to change the lengths of the sides of the triangle, and as a result, the amount of error in the calculation of angular values. With the help of mathematical modeling, in each case, the placement parameters of the device and markers defining the desired angle are pre-set to ensure the required accuracy. To illustrate the methodology, a numerical experiment is presented that shows the necessity of such an approach and the possibility of practical application. The results of mathematical modeling given in the tables allow placing the total station in a position that ensures the established accuracy.
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