Someone mentioned rolling the Boeing to drop the nose? OK, fine, but most of us are not fighter pilots, nor test pilots. If you want us to do this stuff, you are gonna have to train us properly to do it.
What an extraordinary admission! It is basic stuff used even on Tiger Moths. There is no mystery to it. 200 hour cadets undergoing 737 type ratings are taught in the simulator how to recover from an UA.
Extract from B737 Classic FCTM.
Quote: If normal pitch control inputs do not stop an increasing pitch rate,
rolling the airplane to a bank angle that starts the nose down should work. Bank angles of about 45°, up to a maximum of 60°, could be needed. Unloading the wing by maintaining continuous nose-down elevator pressure keeps the wing angle of attack as low as possible, making the normal roll controls as effective as possible.
With airspeed as low as stick shaker onset, normal roll controls - up to full deflection of ailerons and spoilers - may be used. The rolling maneuver changes the pitch rate into a turning maneuver, allowing the pitch to decrease. Finally, if normal pitch control then roll control is ineffective, careful rudder input in the direction of the desired roll may be required to induce a rolling maneuver for
recovery.
Only a small amount of rudder is needed. Too much rudder applied too quickly or held too long may result in loss of lateral and directional control. Because of the low energy condition, pilots should exercise caution when applying rudder. The reduced pitch attitude allows airspeed to increase, thereby improving elevator and aileron control effectiveness. After the pitch attitude and airspeed return to a desired range the pilot can reduce angle of bank with normal lateral flight controls and return the airplane to normal flight.