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First time earth in coming the age or hen

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The sun has a diameter of 865000 mi with a maximumdistancefrom earth's surface of about 94,500,5000 mi. The moon hasasmaller diameter of 2159 mi. For a total solar ecliipse tooccur,the moon must pass between Earth and the sun. The moonmust also beclose enough to Earth for the moon's umbra or shadowto reach thesurface of Earth.
a) calculate the maximum distance that the moon can befromearth and still have a total solar eclipse occur.
b) the closest approach of the moon to Earth's surfacewas225,745 mi and the farthest was 251,978 mi. Can a totalsolareclipse oocur every time the moon is between earth andthesun?

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