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How high is the moon?

It is December and the sun is at 20 degrees south declination.  There is a full moon.  In Boulder, Colorado, (40 N latitude) what is the elevation angle of the moon at midnight?

Ans: 70 degrees.

When the moon is full it is in the opposite direction as the sun.  If the sun is at 20 S, the moon is at 20 N.  At 40 N latitude, the moon is only 20 degrees from the vertical at midnight.  If the moon is twenty degrees from vertical, it is seventy degrees above the horizon.