The lockheed f-80, designed by the famous airplane designer kelly johnson at the lockheed skunk works, was one of the first jet airplanes to use a boundary layer bleed device. this was a duct with a rectangular entrance mounted on the side of the fuselage at the entrance of each side inlet. the boundary layer bleed duct was designed to entrain the low energy boundary layer on the fuselage before it could enter the inlet. this way, the flow entering the inlet and passing into the jet engine was of a higher aerodynamic quality with a minimal loss of total pressure. consider the f-80 flying at mach 0.6 at 20,000 ft. the boundary layer bleed duct is located 2.89 m downstream of the nose of the f-80. the surface of the fuselage is the bottom surface of the rectangular bleed duct. in order to ingest the boundary layer that grows along the fuselage surface, calculate the necessary height of the rectangular entrance of the boundary layer bleed device. assume the fuselage boundary layer is turbulent, incompressible, and its growth is the same as that on a flat plate.