Actually, the Hua Shan (Mountain Hua) is close to the city of Xi'an (where Terracotta warriors museum is located). I visited both in a same trip few years ago.
Regarding to the Hua Shan trial, there was a local advise "if you want to climb to the tea house, better do it during night, because you do not see what is around you, ha ha!".
Of course, now a days, you can get there comfortably by riding a Gondola.