This is the 4533rd most frequent Russian word.
высоте
"Высоте" means "height" or "altitude" in English.
Here, 'высоте' refers to the altitude or height of the mountain.
На высоте этой горы снег лежит круглый год.
At the altitude of this mountain, snow lies all year round.
Here, 'высоте' is used idiomatically to convey excellence or high quality.
Выступление спортсмена было на высоте.
The athlete's performance was top-notch.
Here, 'на высоте' is used metaphorically to indicate one’s optimal state or condition.