You're on a roll — here is the completed table for Question 4:
To complete the table, we use the following relationships:
• The Earth rotates 360∘ in 24 hours.
• This means 1 hour corresponds to 15∘ of longitude (360∘/24hours=15∘/hour).
• Conversely, 1∘ of longitude corresponds to 4 minutes (60minutes/15∘=4minutes/∘).
• Locations East of UTC are ahead in time, and locations West of UTC are behind in time.
• UTC time is given as 12:00.
Here are the calculations for each row:
Rio de Janeiro:
- Longitude of Rio de Janeiro is approximately 43∘W.
- Difference in degrees: 43∘.
- Difference in time: 43∘×15∘1hour=2.866...hours=2hoursand(0.866×60)minutes=2hours52 minutes.
- Ahead/Behind: West of UTC, so Behind.
- Time: 12:00−2hours52minutes=09:08.
Berlin:
- Longitude of Berlin is approximately 13∘E.
- Difference in degrees: 13∘.
- Difference in time: 13∘×15∘1hour=0.866...hours=0hoursand(0.866×60)minutes=0hours52 minutes.
- Ahead/Behind: East of UTC, so Ahead.
- Time: 12:00+0hours52minutes=12:52.
Perth:
- Longitude of Perth is approximately 116∘E.
- Difference in degrees: 116∘.
- Difference in time: 116∘×15∘1hour=7.733...hours=7hoursand(0.733×60)minutes=7hours44 minutes.
- Ahead/Behind: East of UTC, so Ahead.
- Time: 12:00+7hours44minutes=19:44.
Tehran (first entry):
- Given: Difference in time is 3.5 hours.
- Difference in degrees: 3.5hours×15∘/hour=52.5∘.
- Ahead/Behind: Since the time is later than UTC (as indicated by the 3.5 hours ahead), it is Ahead.
- Time: 12:00+3hours30minutes=15:30.
Tehran (second entry):
- Given: Ahead, Time is 15:30.
- Difference in time: 15:30−12:00=3hours30minutes=3.5 hours.
- Difference in degrees: 3.5hours×15∘/hour=52.5∘.
- Ahead/Behind: Ahead (pre-filled).
Here is the completed table:
| COUNTRY | DIFFERENCE IN IN ∘ | DIFFERENCE IN TIME | AHEAD/BEHIND OF THE UTC | TIME |
| :-------------- | :----------------------------- | :----------------- | :---------------------- | :----- |
| Rio de Janeiro | 43∘ | 2.87hrs(2h52m) | Behind | 09:08 |
| Berlin | 13∘ | 0.87hrs(0h52m) | Ahead | 12:52 |
| Perth | 116∘ | 7.73hrs(7h44m) | Ahead | 19:44 |
| Tehran | 52.5∘ | 3.5hrs | Ahead | 15:30 |
| Tehran | 52.5∘ | 3.5hrs | Ahead | 15:30 |
Send me the next one 📸