Portable electronic device and method for changing menu display state according to rotating degree of the device

A video device for displaying a menu in a fixed position regardless of its rotation state. The photographing device comprises a geomagnetic sensor for detecting a predetermined output value corresponding to a geomagnetism; a display unit for displaying a predetermined menu through a display panel; and a control unit for checking the output value detected by the geomagnetic sensor to determine a pickup position, and controlling the display unit to have a display state of the menu changed in response to the determined pickup position. Accordingly, the menu display state on the display panel is changed in response to respective pickup positions to be displayed with the same form in a fixed direction with respect to the surface of the earth.