I have a dataset with several points in space within a given area. UTM coordinates (easting, northing in m) or geographic coordinates were recorded for a single point in the vicinity of these points. Then, locations of each of the other points was recorded based on the distance of a given point along the x- and y-axes (e.g. 5 m, 7 m) from the point where UTM or geographic coordinates were recorded.
Now, how can I determine the UTM coordinates or geographic coordinates of each of these points based on the x,y distances from the point where UTM or geographic coordinates were recorded?
Isn't it appropriate to simply just add the x and y distances to the utm coordinates of the known point to determine the unknown utm co-ordinates of the other points (then use a utm to lat-long converter for determining geographic coordinates)?