I propose a question for the native Russians:

Could one elaborate when after a word like сверху, using c+genitive noun? In order to specify from what one is looking, for example.
Are these viable, or and even plausible sounding phrases?

Лететь вверх в небо

глядеть снизу с множества документов

Шёл он вниз в шахту.
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Nevermind, this is explained in the links