The local time of town a , located at longitude 70 degrees east and latitude 45 degrees north is 7:46pm calculate the longitude of town b on the same latitude when local time is 5:30am
How did you work it
Solution
Log A 70 E Log B 45n
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5.30am <------- 7.40
=1276n :2 = 210
------ = 2hrs
105
Answer Is = 2.00am
104 degrees east
To calculate the longitude of town B on the same latitude when the local time is 5:30 am, we need to determine the time difference between town A and B and then convert it into degrees.
To find the time difference, we subtract the local times of both towns:
7:46 pm - 5:30 am
Town A is 2 hours and 16 minutes ahead of Town B.
Next, we convert the time difference into degrees of longitude.
Since 24 hours corresponds to 360 degrees of longitude (360°), we can calculate the number of degrees in one hour:
360° / 24 hours = 15° per hour.
Now that we know there are 15° per hour, we calculate the longitude difference between town A and B:
2 hours * 15° per hour = 30°
16 minutes * (15° / 60 minutes) = 4°
So, the longitude of town B is 30° + 4° = 34° east.