Solving Angle At The Pole

The distance between two meridians is 427 nautical miles in latitude 50° 20' N. What is the angle at the pole?

Given:
         427 nm - Distance between two meridians
         Latitude 50° 21' N

What is asked:
         Angle at the pole

Solution:
         This is the formula for getting angle at the pole.

           Angle at the pole = (distance / Cos Lat)  ÷ 60

Step 1. Divide the distance by cosine of latitude.
         
            427 nm ÷ Cos 50° 20' = 668.94 nm

Step 2. Divide 668.94 by 60 to convert it into degrees. And result will be the angle the pole.

            668.94 ÷ 60 = 11° 08.9' is the angle at the pole.

Angle at the pole