castle in budapest
See more things to do in Budapest Â». At the top of the hill, rising over 300 feet at an almost 40-degree incline, is Buda Castleâwith no easy way, at the time, to get there from the bridge. That changed 21 years later with the opening of the BudavÃ¡ri SiklÃ³, Europeâs second funicular railway.