precipice

preci|pice /pr'esɪpɪs/ (precipices)
1 [N-COUNT]
A precipice is a very steep cliff on a mountain.
2 [N-COUNT]
If you say that someone is on the edge of a precipice, you mean that they are in a dangerous situation in which they are extremely close to disaster or failure.
The King now stands on the brink of a political precipice.