Earth as a sphere 9.4
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This document discusses how to find the shortest distance between two points on Earth's surface. It explains that the shortest path is along a great circle, using the example of finding the distance between two points that are 180 degrees of longitude apart and at the same latitude of 37 degrees north. The distance is calculated as 180 degrees multiplied by 60 nautical miles per degree, equaling 10,800 nautical miles. It then calculates the distance between the same two points as the angle of their great circle arc, which is 106 degrees, multiplied by 60 nautical miles per degree, equaling 6,360 nautical miles.
Earth as a sphere 9.4
- 1. EARTH AS A SPHERE 9.4 Understand and use the concept of distance on the surface of the earth to solve problems
- 2. LEARning OuTcOmES Find the shortest distance between two points on the surface of the earth.
- 3. A B (37o N, 54o W) (37o N, 126o E)
- 4. A B
- 5. A B (37o N, 54o W) (37o N, 126o E) 180o Answer
- 6. The distance between A and B = 180o x 60 = 10 800 nautical mile
- 7. A B
- 9. AOB = 180 (37o x 2) = 106o Back
- 10. The distance between A and B = 106o x 60 = 6 360 nautical mile
- 11. ConClusion The shortest distance from one point to another on the surface of the earth is along a great circle.