Yes -in that sentence "up" is needed to indicate the position of the smoke. If the speaker is on ground level this would be the sixth floor. from six stories above this one".
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tashiro"Look, there’s smoke coming from six stories up."Yes. If you leave out "up", you are saying that smoke is coming from six different stories of the same building (i.e., from six different levels). That's a lot of smoke!
Is "up" necessary in this sentence?