Measured from a position on the Earth's surface at the equator, the angle between the direction to the Moon and a reference direction (distant star) in the plane of the Moon's orbit is 11°57' at 8 p.m. one evening and 14°32' at 4 a.m. the following morning. Assuming that the Earth, Moon and reference star are in the same plane, and that the rotation axis is normal to the plane, estimate the approximate dis- tance between the centres of the Earth and Moon.

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Measured from a position on the Earth's surface at
the equator, the angle between the direction to the
Moon and a reference direction (distant star) in the
plane of the Moon's orbit is 11°57' at 8 p.m. one
evening and 14°32' at 4 a.m. the following morning.
Assuming that the Earth, Moon and reference star
are in the same plane, and that the rotation axis is
normal to the plane, estimate the approximate dis-
tance between the centres of the Earth and Moon.
Transcribed Image Text:Measured from a position on the Earth's surface at the equator, the angle between the direction to the Moon and a reference direction (distant star) in the plane of the Moon's orbit is 11°57' at 8 p.m. one evening and 14°32' at 4 a.m. the following morning. Assuming that the Earth, Moon and reference star are in the same plane, and that the rotation axis is normal to the plane, estimate the approximate dis- tance between the centres of the Earth and Moon.
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