The unknown planar positions are obtained from distance measurements by solving two nonlinear distance equations using Sylvester resultant technique. By directly obtaining the coordinates of the unknown planar positions through the elimination of one of the variables, the Sylvester resultant approach offers a faster approach as compared to the conventional analytical approach that uses differencing and substitution techniques. Moreover, the Sylvester resultant algorithm is already incorporated in the algebraic software such as Mathematica and Maple. This makes it feasible for any practitioner with a computer to immediately obtain the station position once the distances have been measured using EDM andtotal station equipments. The Sylvester resultant approach delivers two univariate quadratic equations for the unknown station coordinates {X0, Y0}.