The Gheens Science Hall is located at latitude 38.2188 degrees, longitude 85.7592 degrees west. (Note: The sign convention on longitude differs with application, and astronomers often use (+) for west while geographers use (+) for east. Thus in Google Maps to set longitude for the US we need to use a (-) sign, but in XEphem to set an observatory site we would use a (+) sign. )
1. What is the latitude in degrees, minutes and seconds and the longitude in hours, minutes and seconds?
2. If it is 7 PM (19 hours UT1) at the Greenwich prime meridian, what is the Eastern Standard Time at the Gheens Science Hall?
3. If on the average the Sun passes the Eastern standard meridan (5 hours) at noon EST, at what time EST would the Sun pass the meridian at the Gheens Hall?
4. At what time DST?
5. What is the altitude of the north celestial pole as seen from the Gheens Hall?