Heeling angle maths

Occasionally it's desirable to reduce the draft on your boat, to get over a sand bar for example, or to reduce the height of the mast to fit under a bridge. A common solution to this problem is to heel the boat over by hanging a large weight or pull with a dinghy at right angles to the boat either from the end of the boom held out to the side or from a halyard from the top of the mast.