calculate the longitude of the position of a ship whose navigation office obwerve that Greenwich mean time is 1416 hours when the local time is noon​

To calculate the longitude of the ship, we can use the fact that each hour of time difference corresponds to 15 degrees of longitude (since there are 24 hours in a day and 360 degrees of longitude around the Earth). The formula is:

Longitude=15∘×(Local Time - GMT)

Longitude=15∘

×(Local Time - GMT)

Given:

• Local time = Noon (12:00 PM or 1200 hours)
• Greenwich Mean Time (GMT) = 1416 hours

Longitude=15∘×(1200−1416)

Longitude=15∘

×(1200−1416)

First, calculate the time difference:

Time Difference=1200−1416=−216

Time Difference=1200−1416=−216

Now, use the formula:

Longitude=15∘×(−216)

Longitude=15∘

×(−216)

Longitude=−3240∘

Longitude=−3240∘

So, the longitude of the ship is −3240∘

−3240∘

. However, it's important to note that longitude is typically measured in the range of -180° to +180°. In this case, the ship is west of the Greenwich Meridian, so the longitude is 360∘−3240∘=−2880∘

360∘

−3240∘

=−2880∘

.

Therefore, the longitude of the ship is approximately -2880^\circ.