>the height of isolence

I think that there may have been a "little something" missing when you searched, Bill - easily done!

(from Cambridge International Dictionary of English)

insolent
adjective
(of a person or their behaviour) intentionally and rudely showing no respect
At school he was the sort of child that teachers would describe as insolent.
As Moreau begins to talk, the shadowy brown eyes fix you with an almost insolent directness.

insolently
adverb

insolence
noun [U]
She had that dumb (=silent) insolence that teachers find so disturbing.