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Zorluk: ZorLatitude, Longitude, and Time Calculations

Town X is located at longitude 15∘W15^\circ\text{W} where the local solar time is recorded as 08:20 AM08:20\text{ AM}. At the exact same instant, a solar observatory at Town Y records a local solar time of 05:00 PM05:00\text{ PM}. What is the longitude of Town Y?

  1. 115∘E115^\circ\text{E}Cevap
  2. B
    115∘W115^\circ\text{W}
  3. C
    145∘E145^\circ\text{E}
  4. D
    145∘W145^\circ\text{W}

Cevap

The longitude of Town Y is 115∘E115^\circ\text{E}.
Because Town Y has a local solar time of 05:00 PM05:00\text{ PM} compared to 08:20 AM08:20\text{ AM} at Town X, Town Y is 8 hours 40 minutes8\text{ hours } 40\text{ minutes} ahead. Converting this time difference to angular distance (520 minutes÷4=130∘520\text{ minutes} \div 4 = 130^\circ) shows Town Y is 130∘130^\circ east of 15∘W15^\circ\text{W}. Traveling 15∘15^\circ east reaches the Greenwich Meridian (0∘0^\circ), and the remaining 115∘115^\circ east places Town Y at 115∘E115^\circ\text{E}.

Adım Adım Çözüm

1
Calculate the time difference between Town X and Town Y
Time difference = 05:00 PM(17:00)−08:20 AM=8 hours 40 minutes05:00\text{ PM} (17:00) - 08:20\text{ AM} = 8\text{ hours } 40\text{ minutes}
Determining the time span between the two locations provides the basis for calculating angular separation.
2
Convert the time difference into degrees of longitude
8 hours 40 minutes=520 minutes8\text{ hours } 40\text{ minutes} = 520\text{ minutes}. Total angular distance = 520 minutes÷4 minutes/degree=130∘520\text{ minutes} \div 4\text{ minutes/degree} = 130^\circ
Earth rotates 1∘1^\circ every 4 minutes (15∘15^\circ per hour).
3
Determine direction and final longitude of Town Y
Since Town Y's time (05:00 PM05:00\text{ PM}) is ahead of Town X's time (08:20 AM08:20\text{ AM}), Town Y lies to the East of Town X. Moving 130∘130^\circ East from 15∘W15^\circ\text{W}: 130∘−15∘=115∘E130^\circ - 15^\circ = 115^\circ\text{E}
Locations further east experience later local solar times. Crossing the 0∘0^\circ Prime Meridian shifts coordinates from West to East.

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