A projector includes an image projection section projecting an image on a projection surface, an imager capturing a surface image to produce a captured image, a controller causing the image projection section to project a calibration image and causing the imager to capture the projected calibration image, a computing section calculating conversion information for converting a position in the captured image into a position in the projection image based on the captured image as a result of the calibration image imaging, and a detector searching the projection image and detecting a pointing position at which a light emitting pen pointing at the projection surface has pointed based on the conversion information and captured image as a result of the light emitting pen imaging, and the computing section calculates a projection distance between the projector and projection surface based on the captured image as a result of the calibration image imaging.