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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

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Learning Outcomes Find the shortest distance between two points on the surface of the earth.

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A B (37 o N, 54 o W) (37 o N, 126 o E)

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A B

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A B (37 o N, 54 o W) (37 o N, 126 o E) 180 o Answer

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The distance between A and B = 180 o x 60 = 10 800 nautical mile

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A B

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A B 37 o O AOB Next 0o0o

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AOB = 180 – (37 o x 2) = 106 o Back

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The distance between A and B = 106 o x 60 = 6 360 nautical mile

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Conclusion The shortest distance from one point to another on the surface of the earth is along a great circle.

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