WordNet sense 1 (of or characteristic of high rank or importance):

superior

WordNet sense 2 (having succeeded or being marked by a favorable outcome):

successful

WordNet sense 3 ((used of persons) standing above others in character or attainment or reputation):

distinguished

WordNet sense 4 (of great significance or value):

important, of import

WordNet sense 5 (of imposing height; especially standing out above others):

lofty, soaring, towering

WordNet sense 6 ((literal meaning) being at or having a relatively great or specific elevation or upward extension (sometimes used in combinations like `knee-high')):

high