"And... how do they work? Does someone literally press a button at the start of a song and hopefully it will be on beat with the live orchestrations? "
Practically every show in London has a click track....in answer to the above question - a clicking sound is played on every beat of the bars of the song through all different time signatures etc....The music is then recorded with the click in a studio and processed.
During a performance the MD (and sometimes drummers) wears a set of headphones which the click is played through but the click does not go through the main sound system of the theatre - the MD then conducts the live orchestra to the beat of the click hense why the vocals always lines up....not a case of pressing a button and hoping it lines up lol!
I have seen shows tho when the click track has gone horribly wrong and they've had to stop the pre recorded stuff as it was so out of time!
Unless the whole song is recorded (like buenos aires in the recent revival and tour of Evita in the UK) the click track can start at any point in the song - so the "have another drink" line in wicked is started literally 3 bars before the line is heard and as a poster said - its marked on the MD scores when to start the click track and all he does is press a little red button!
The Artist Formally Known As 'Anon2'