$11\mathrm{.}1$ Tipback angle:A fighter is taking off with $16$ degrees of fuselage angle of attack. The height of the lowest point of the rear fuselage is $1\mathrm{.}4$ m and the distance between main gear and the fuselage tail point is $6\mathrm{.}8$ m$.$ The landing gear is attached to the fuselage. Does the rear fuselage hit the ground during takeoff rotation? If yes, find the main gear height to achieve a clearance of $40$ cm$.$