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You are allowed to run a spell checker on your questions. To answer your question, local zenith is a direction. It is upwards and it goes from the centre (Canadian spelling) of the earth, up thru (Engineering spelling) your head and onward into the sky. It is called local because it depends on your location. If you were standing on the equator then the local zenith is perpendicular to the earth's axis. If you were to stand at either pole, then the local zenith would be parallel to the earth's axis.
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About eight thousand miles.
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