The highest living land predator is the snow leopard (Uncia uncia) whose range extends across twelve countries in the mountainous regions of Central and southern Asia. Amongst the highest altitudes at which this rarely-seen cat has been photographed is by cameras hidden at 5,800 m (19,000 ft).

Moving footage of a snow leopard hunting a markhor (a species of ibex-related wild goat) were famously captured by a camera crew in remote mountains on the Afghan/Pakistan border, for the acclaimed Planet Earth series (BBC, 2006).

[Note from Karl Shuker, the consultant for animals & plants:
NB – I notice that the Wikipedia entry for the markhor refers to it as a goat-antelope, but this is incorrect; it is a member of the true goat and ibex genus, Capra; goat-antelopes, conversely, belong to various totally separate genera.]