Eminently is a rather formal way to say “very”, but it is not a cold “very”. You use it when you approve. If someone is eminently qualified, you are saying they are clearly, completely the right person — and you think that is a good thing. Eminently sensible, eminently readable, eminently fair: the speaker is nodding. You would not say “eminently awful”; the word does not like bad news. Though actually, learners who know eminent (“respected, standing out”) often guess that eminently means “in a famous way”. In real English it almost never means that. It is an adverb of degree with a smile of approval, more at home in careful writing than in a text message.