A sheet feeding apparatus includes: a tray storing a sheet and detachably mounted on an apparatus body; a rotatable arm; a roller, provided on the arm, configured to pick up the sheet on the tray; a sensor, provided on the arm, configured to detect a physical property; and a determination unit configured to determine, based on detection by the sensor, at least any of a mounting state of the tray on the apparatus body and at least one of states of the sheet on the tray selected from the group consisting of the presence or absence of the sheet, a remaining amount of the sheet, a type of the sheet, front and back sides of the sheet, and a size of the sheet stored on the tray.