apparatus and method for estimating the 3d orientation angles for remotely deployed devices with flexible arms such as dipole antennas of receivers used in marine controlled - source electromagnetic surveys to explore for hydrocarbons . acoustic transponders or transducers , or other positioning sensors such as attitude sensors or strain - sensitive fiber optic cables are placed on each electrode arm of the receiver . acoustic sensors on the receiver frame work in conjunction with the positioning sensor on the electrode arms to provide accurate 3d spatial position of the receiver electrodes relative to the receiver frame . alternatively , sonar transducers mounted on the frame are used to image the electrode arms , which image can be enhanced by fixing reflectors to the arms . an attitude sensor is mounted on the receiver frame , enabling conversion of the relative electrode positions to an earth reference frame .