If the sun is directly overhead at 12 noon at your location and GMT (Greenwich Mean Time) is 10:00 pm, what is you approximate longitude?
To determine your approximate longitude, we need to consider the time difference between your location and GMT. By knowing the time difference, we can calculate how many degrees of longitude you are away from the Prime Meridian, which passes through Greenwich, London (0° longitude).
In this scenario, the sun is directly overhead at your location at 12 noon. This suggests that you are located on the meridian, which runs north to south through your location. Since the sun is directly overhead at 12 noon, it means that your location is on the same longitude as the sun at that time.
Simultaneously, GMT is 10:00 pm. This indicates that there is a time difference of 10 hours between GMT and your location. To convert this time difference into a measure of longitude, we can use the fact that the Earth rotates 360° in 24 hours, or 15° per hour (360° / 24 hours = 15°/hour).
Therefore, to find the approximate longitude of your location, we multiply the time difference between your location and GMT (10 hours) by the rate of 15° per hour:
10 hours * 15°/hour = 150°.
So, your approximate longitude would be around 150°.