A small handfull ( 2-4) of mercury switches, a project enclosure, and a 12v buzzer, some wire, and double sided tape would fit that bill. Use a protractor to guess at some angles.. cut some backing material.. say? wood scraps on the bandsaw.. glue/double sided tape the switches to the wood wedges.. mount those wedges in the enclosure.. wire all the switches in parallel .. ground the buzzer.. run power thru the merc switches to the buzzer. Perhaps add a push on push off 'silencer' button.. mark the enclosure for north to help you orient it.. Maybee even add a level - style bubble gauge on it to mount it flat. 20 bucks in parts? less if you have some stuff to scavange thru.. like and old level with a bend or a broken siteglas or two.. Old ac thermostats are a great source of mercury switches.. as well as 'tip' switches (non mercury) from old electric heaters..
Orient it so that when rotated off the horizontal side to side at 'xx' degrees, a side switch makes contact. And old far door buzzer would suffice for the buzzer element.. those old electric heaters with the tip switches sometimes have buzzers as well.
Soundguy