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Option 4 is the correct answer because of the concept of time zones and Earth`s rotation. Each hour of time difference corresponds to a difference of 15° in longitude. Hence, 6 hours difference from GMT (Greenwich Mean Time) corresponds to a longitude difference of 6 x 15° = 90°.
Looking at the options:
Option 1 - 17° 30’ E: This would only account for about a 1 hour and 10 minutes difference from GMT.
Option 2 - 7° 30’ W: This equates to a time difference of approximately half an hour behind GMT, which won`t satisfy the condition of the question.
Option 3 - 172° 30’ E: This longitude suggests a time difference of about 11 hours and 30 minutes ahead of GMT, again not matching the requirement of a 6-hour difference.
Option 4 - 90° W: This corresponds to a time difference of 6 hours behind GMT, thereby, satisfying the condition of the question. When it`s noon at GMT, it`s 6 am at this longitude.