A measuring device generally comprises a base unit housing an extensible
cable; the cable including a free end for placement by a user at a point
being measured. The base unit, placed in line of sight of the point,
includes: a base; a first carriage rotationally attached to the base
about a turn axis; and a second carriage rotationally attached to the
first carriage about a pitch axis. Servoed motors rotate the carriages to
align them with cable path to the point. The turn angle, the pitch angle
and the cable length are measured to determine the point's location. A
plurality of points determines a surface. The user uses a programmed PDA
with a radio to communicate with the base unit.