how to convert survey data from theodolite into northing easting coordinates?

Answer 1

take your first point and call that 10000,10000 or some other reference point. then use sin and cos to convert all points after that into their x and y distances, then add those to the beginning point or wherever you are referencing them too

Answer 2

The above answer is correct, but make sure of how your instrument archives the data. You can set up your instrument first. You don't want to mix them up. It aint pretty.