To check vertical deviation of tower using theodolite, measure the distance between the target and the point of burst in the plane. There must be a normal line of position along a line perpendicular to the lateral deviation.
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To check a tower vertically by using a theodolite, you must first check for collimation and check the vertical axis of the theodolite. If all is okay, then set up your theodolite a bit away from the tower and clamp the horizontal plate, then check the tower zenith transit.