buenos aires and sydney are both at latitude 34 south but buenos aires is at longitude 58 west and sydney is 151 east. how many hours after passing through the zenith in buenos aires will it pass through the zenith in sidney?
To determine how many hours it will take for the sun to pass through the zenith in Sydney after passing through the zenith in Buenos Aires, we need to consider the time zone difference between the two cities.
First, let's understand the concept of time zones: Earth is divided into 24 time zones, each approximately 15 degrees of longitude wide. The prime meridian, which passes through Greenwich, London, is assigned a time zone of 0, and each time zone to the east is one hour ahead of the previous one, while each time zone to the west is one hour behind.
In this case, Buenos Aires is located at a longitude of 58 degrees west, while Sydney is located at a longitude of 151 degrees east. To compare the longitude values, we need to convert them to a common reference point.
Since there are 360 degrees of longitude in a full circle, we can determine the longitude difference between the two cities by summing up their absolute values:
Buenos Aires longitude: 58 degrees west
Sydney longitude: 151 degrees east
To convert 151 degrees east to a westward longitude value, we subtract it from 360 degrees:
360 degrees - 151 degrees = 209 degrees west
Now we have the longitude difference: 58 degrees west and 209 degrees west.
To convert this into a time difference, we need to divide each longitude value by 15 (since each time zone is approximately 15 degrees wide):
Buenos Aires time difference: 58 degrees west / 15 = 3.87 hours (approximately)
Sydney time difference: 209 degrees west / 15 = 13.93 hours (approximately)
So, the time difference between Buenos Aires and Sydney is approximately 3.87 hours.
Since the sun generally takes 24 hours to complete a full circuit around the Earth, we can subtract the time difference from 24 hours to determine how many hours it will take for the sun to pass through the zenith in Sydney after passing through the zenith in Buenos Aires:
24 hours - 3.87 hours = 20.13 hours (approximately)
Therefore, it will take approximately 20.13 hours for the sun to pass through the zenith in Sydney after passing through the zenith in Buenos Aires.