AFTER TAKEOFF, THE PLT TURNED TO A NORTHERLY HEADING & REMAINED AT LOW ALT TO VIEW HIS AGRICULTURAL DEVELOPEMENT NEAR THE AIRSTRIP. THIS HEADING TOOK THE ACFT TOWARD HIGH TENSION POWER LINES, JUST NORTH OF THE PRIVATE STRIP. THE PLT SELECTED A FLT PATH OVER THE LOWEST SAG IN THE LINES; HOWEVER, NEITHER HE NOR THE PASSENGER SAW THE STATIC CABLES ABOVE THE MAIN TRANSMISSION LINES. SUBSEQUENTLY, THE ACFT COLLIDED WITH AN UPPER (STATIC) CABLE. THE CABLE STOPPED THE ACFT'S FORWARD MOVEMENT & IT DROPPED NEARLY STRAIGHT-DOWN TO THE GROUND.