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elevation of the sun

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For a place at a latitude of 55 degrees determine how high above the
horizon the Sun is at noon on (a) the Vernal Equinox, (b) the Summer
Solstice, and (c) the Winter Solstice

If the sidereal period of the Moon was 29.0 days (instead of the
correct 27.32 days) what would be its synodic period? (Hint: consider
how far around the Sun the Earth/Moon will have traveled in 29.0 days.

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This job figures elevation of the sun.

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Q1
For a place of latitude 55 degree, the rotation axis of the earth makes 55 degree angle with the horizon in exact north direction. At noon time sun is crossing meridian and therefore it is at 90 of the axis of the earth. Therefore elevation of the sun is 90 - 55 = 35 degree.

On summer solstice day ...

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