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Learn to find the shortest distance on Earth's surface using the concept of great circles. Calculate distances between points like (37°N, 126°E) and (37°N, 54°W). Understand how to apply angular measurements for accurate results.
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EARTH AS A SPHERE 9.4 Understand and use the concept of distance on the surface of the earth to solve problems
Learning Outcomes Find the shortest distance between two points on the surface of the earth.
A B (37oN, 126o E) (37oN, 54o W)
A B
A B (37o N, 126o E) (37o N, 54o W) 180o Answer
The distance between A and B = 180o x 60’ = 10 800 nautical mile
A B
A B AOB 37o 37o 0o O Next
AOB = 180 – (37o x 2) = 106o Back
The distance between A and B = 106o x 60’ = 6 360 nautical mile
Conclusion The shortest distance from one point to another on the surface of the earth is along a great circle.