High adjectives are listed in this post. Each word below can often be found in front of the noun high in the same sentence. This reference page can help answer the question what are some adjectives commonly used for describing HIGH.
above, at, certain, emotional, eternal, faithful
few, first, foot, great, half, high
historic, inch, junior, large, less, little
many, merciful, modern, more, most, new
old, other, own, present, same, several
such, time, true, very
Hope this word list had the adjective used with high you were looking for. Additional describing words / adjectives that describe / adjectives of various nouns can be found in the other pages on this website.