Ferris State University
Surveying Engineering
Surveying Computation - SURE 215
P R O B L E M N U M B E R 999
Designed by: S.R. Hashimi
4-Parameter Coordinate Transformation Problem
Write your answers in the spaces provided
Given Data:
X - Y Coordinate System X' - Y' Coordinate System
POINT NO. X Y X' Y'
1 6567.816 6504.555 6172.620 6444.403
2 6798.660 12271.950 11940.019 6675.247
3 6741.049 6719.063 ____________ ____________
4 6584.981 6661.367 ____________ ____________
5 6628.913 6603.671 ____________ ____________
6 6666.569 6597.075 ____________ ____________
Compute:
The following transformation parameters for the two coordinate systems given above:
(a). The rotation angle = ____________________
(b). The X translation = ____________________
(c). The Y translation = ____________________
(d). The scale factor = ____________________
(e). The coordinates of points 3 to 6 in the X' - Y' system
