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Question
Two boxes in different hemispheres are given in the following diagram. The IDL passes through both the boxes. In one box, the meridian, day and date is given. Find the day and date for the other box.
Solution
Explanation:
We are given that the 150° E Meridian is Monday 15th August.
We know that the earth rotates 360° in 24 hours, which means that it rotates 15° in 1 hour. Therefore, in 1°, the earth takes 4 minutes.
The 150° W Meridian is on the opposite side of the earth to the 150° E Meridian, which means that it is 180° away.
To find out the time difference between the two meridians, we need to multiply the number of degrees by 4 (the number of minutes in 1°). So, 180° × 4 = 720 minutes. 720 minutes is equal to 12 hours.
Finally, we need to take into account the International Date Line (IDL), which is located in the Pacific Ocean and separates one calendar day from the next. When we cross the IDL from east to west, we add a day, and when we cross it from west to east, the day remains the same.
Since we are going from east to west (from the 150° E Meridian to the 150° W Meridian), we need to add a day. Therefore, if the 150° E Meridian is Monday 15th August, then the 150° W Meridian is Tuesday 16th August.
We are given that the 170° W Meridian is Sunday 25th December. The 170° W Meridian is 170° away from the Prime Meridian (which is located at 0°), and the 80° E Meridian is 80° away from the Prime Meridian.
Finally, we need to take into account the International Date Line (IDL), which is located in the Pacific Ocean and separates one calendar day from the next. When we cross the IDL from east to west, we add a day, and when we cross it from west to east, the day remains the same.
Since we are going from west to east (from the 170° W Meridian to the 80° E Meridian), the day remains the same. Therefore, if the 170° W Meridian is Sunday 25th December, then the 80° E Meridian is Sunday 25th December.
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