How would you calculate Moon's high culmination point based on the Moon's sunrise hour?

You can't. However, if you give me the time of the moonrise *and* the moonset, then it can be done.

For instance, Paris today:

Moonrise at 18 h 10, moonset at 04 h 32, 10h20 above horizon, maximum altitude 29° above horizon.

Cairo: Moonrise 16 h 40, moonset 03 h 59, 11h20 above horizon, maximum altitude 47.5° above horizon.

As you see, there is a relation between the the total time the Moon is visible and its maximum alttitude.

You would need to know where you are and what the date is.

You would also need an almanac which cost about $100.

Or you could download stellarium, it's free and it's fun, then just hit the forward button and watch till the moon crosses the meridian

Are you serious.I Bet it would depend on the time zone. Dark side isn't a misnomer. Hope this helps.

You need to learn spherical trigonometry.....or go here:

http://www.usno.navy.mil/USNO/astronomical-applica...