# Point B is 2 400 nm to the East of the point A(60°N, 35° 48’W)

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✅Question : Point B is 2 400 nm to the East of the point A(60°N, 35° 48’W). Find the longitude of B. (3 marks) ​

To find the longitude of point B, we need to consider the given distance and direction from point A. Longitude is the angular distance measured in degrees east or west from the Prime Meridian (0 degrees longitude).

Given:

• Point A: Latitude 60°N, Longitude 35° 48’W
• Point B is 2,400 nautical miles to the East of point A

First, let’s convert the longitude of point A from degrees and minutes to decimal degrees: Longitude of A = 35° + 48’/60 = 35.8 degrees west

Now, we know that point B is to the East of point A, so we need to calculate how many degrees of longitude 2,400 nautical miles corresponds to.

1 degree of longitude at the equator corresponds to approximately 60 nautical miles.

Degrees of longitude = Distance (nautical miles) / Conversion factor (nautical miles per degree) Degrees of longitude = 2,400 nm / 60 nm/degree Degrees of longitude = 40 degrees

Since point B is to the East of point A, we need to add the calculated degrees of longitude to the longitude of point A:

Longitude of B = Longitude of A + Degrees of longitude Longitude of B = 35.8° + 40° = 75.8°

So, the longitude of point B is 75.8 degrees west.

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