Answer by Ameya Vombathkere:
History focuses on events, objectively reported. Also, history is the study of the continuum of events starting in the past and continuing to the present.
Anthropology focuses on a people specifically situated in time and space, who their ancestors were, how they interact with the environment and with each other, use tools, live, worship, and so on. (Anthrop = human being and -ology = the study of).
History provides the time and place–the setting–for the study of a particular group of humans. Anthropology explains who those people were and how they effected or affected historical events–and how those events affected them.