A positioning device for positioning a drilling tool of a drilling apparatus relative to a workpiece includes a cage mounted to the drilling apparatus such that the cage at least partially surrounds the drilling tool. The cage includes an end portion that includes an alignment surface that is configured to be engaged in physical contact with a workpiece surface of the workpiece. The alignment surface of the cage is oriented relative to a centerline axis of the drilling tool such that the centerline axis extends approximately normal to the workpiece surface when the alignment surface of the cage is in contact with the workpiece surface. The positioning device also includes a laser projector mounted to the cage such that the laser projector is configured to project an illuminated dot onto the workpiece surface that indicates where the centerline axis of the drilling tool intersects the workpiece surface.