Final answer:
If it's 12:00 PM in Greenwich, a location 45 degrees east is three hours ahead, making it 3:00 PM there. (Option A)
Step-by-step explanation:
If the time is 12:00 PM at Greenwich (0 degrees longitude), and we are looking for the time at a location 45 degrees east of Greenwich, we can determine the time using the fact that Earth is divided into 24 time zones, each 15 degrees apart. Therefore, each time zone is equivalent to 1 hour. Given that information, a location that is 45 degrees east of Greenwich is 3 time zones or 3 hours ahead.
Since there are 24 hours in a day and 360 degrees in a circle, one hour of time difference corresponds to 15 degrees of longitude (360 degrees divided by 24 hours). Following this, a location 45 degrees east (45 / 15 = 3) would be 3 hours ahead of Greenwich Mean Time (GMT). So, if it is 12:00 PM (noon) in Greenwich, the time at a location 45 degrees east would be:
12:00 PM + 3 hours = 3:00 PM
Therefore, the correct answer would be:
A) 3:00 PM