1. A projector that projects an image on a projection object, the projector comprising: an imaging structure that photographs the image projected on the projection object to take a photographed image; an imaging control module that performs exposure adjustment in the imaging structure to attain a preset target exposure; a control module that sets the target exposure in the imaging control module; an angle information acquisition module that obtains angle information representing an inclination of the projector to the projection object; and a storage unit that stores a map representing a variation in target exposure against the angle information, wherein the control module controls the angle information acquisition module to obtain the angle information, refers to the map stored in the storage unit to specify the target exposure corresponding to the obtained angle information, and sets the specified target exposure in the imaging control module.