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Option 1: 9:12 PM of 1st January 2017.
Option 2: 2:48 PM of 31st December 2016.
Option 3: 11:40 PM of 31st December 2016.
Option 4: 5:28 AM of 1st January 2017.
To determine the time at Los Angeles, we need to calculate the time difference between the two longitudes.
Perth is located on 118th East Longitude, while Los Angeles is located on 110th West Longitude. Since there are 24 hours in a day and 360 degrees in a circle, each degree of longitude represents 4 minutes of time (24 hours / 360 degrees = 4 minutes per degree).
The time difference between the two longitudes is 228 degrees (118 + 110). Multiplying this by 4 minutes, we get 912 minutes or 15 hours and 12 minutes.
Therefore, if New Year is celebrated in Perth at 6:00 AM on 1st January 2017, the time in Los Angeles (1100 West Longitude) would be 15 hours and 12 minutes earlier, which corresponds to 2:48 PM on 31st