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SUEC ¸ßÖÐ Adv Maths (Earth as Sphere) (Part 2).pptx

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The document contains calculations of distances between various geographic points using latitude and longitude coordinates. It includes the distances between points Q and A, which is 319.2 km, and the distance from a point at 42¡ãN 33¡ã27'E or 42¡ãN 6¡ã33'W to 40¡ãN 33¡ã47'E, which is calculated as 8,895.35 km or 4,800 nautical miles. It also contains a calculation using trigonometric functions that finds the distance between two points is 6,560 km or 3,540 nautical miles.

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SUEC ¸ßÖÐ Adv Maths (Earth as Sphere) (Part 2).pptx
?? ?? 32,584 ?? 3,185 ??
?? ?? ???????? = 70¡ã ¡Á 60 ¡Á ??? 40¡ã = 3,217 ???????? ???? 70¡ã ?
?? ??
?? ??
?? ?? ? (48¡ã ?, 25 ¡ã 27¡¯ ?) 319.2 ?? ? (48¡ã 52¡¯ ?, 32 ¡ã 23¡¯ ?)
?? ?? (42¡ã ?, 33 ¡ã 27¡¯ ?) ?? (42¡ã ?, 6¡ã 33¡¯ ?) (40¡ã ?, 33 ¡ã 47¡¯ ?) (52¡ã 30¡¯ ?, 14 ¡ã 03¡¯ ?) 4,800 º£Àï
?? ?? ???????? = 160¡ã ¡Á 60 ¡Á ??? 60¡ã = 4,800 º£Àï = 160¡ã 360¡ã ¡Á 2? ¡Á 6370 ¡Á ??? 60¡ã = 8,895.35 ?? = 8,895.35 1.853 = 4,800 º£Àï
SUEC ¸ßÖÐ Adv Maths (Earth as Sphere) (Part 2).pptx
?? ?? ? ?? ?
?? ?? 319.14 ?? 6,559 ?? 3,539 º£Àï 998.7 ?? 8,565 ?? 1,841 ??
?? ?? ??? 1 2 ? = ??? ? 2 ??? ? = ??? 160 ¡ã 2 ??? 60 ¡ã = 0.4924 ? = 58.997 ¡ã = 58.997¡ã 360¡ã ¡Á 2? ¡Á 6370 = 6,560 ?? = 6,560 1.853 = 3,540 º£Àï

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SUEC ¸ßÖÐ Adv Maths (Earth as Sphere) (Part 2).pptx

  • 3. ?? ?? ???????? = 70¡ã ¡Á 60 ¡Á ??? 40¡ã = 3,217 ???????? ???? 70¡ã ?
  • 6. ?? ?? ? (48¡ã ?, 25 ¡ã 27¡¯ ?) 319.2 ?? ? (48¡ã 52¡¯ ?, 32 ¡ã 23¡¯ ?)
  • 7. ?? ?? (42¡ã ?, 33 ¡ã 27¡¯ ?) ?? (42¡ã ?, 6¡ã 33¡¯ ?) (40¡ã ?, 33 ¡ã 47¡¯ ?) (52¡ã 30¡¯ ?, 14 ¡ã 03¡¯ ?) 4,800 º£Àï
  • 8. ?? ?? ???????? = 160¡ã ¡Á 60 ¡Á ??? 60¡ã = 4,800 º£Àï = 160¡ã 360¡ã ¡Á 2? ¡Á 6370 ¡Á ??? 60¡ã = 8,895.35 ?? = 8,895.35 1.853 = 4,800 º£Àï
  • 10. ?? ?? ? ?? ?
  • 11. ?? ?? 319.14 ?? 6,559 ?? 3,539 º£Àï 998.7 ?? 8,565 ?? 1,841 ??
  • 12. ?? ?? ??? 1 2 ? = ??? ? 2 ??? ? = ??? 160 ¡ã 2 ??? 60 ¡ã = 0.4924 ? = 58.997 ¡ã = 58.997¡ã 360¡ã ¡Á 2? ¡Á 6370 = 6,560 ?? = 6,560 1.853 = 3,540 º£Àï

Editor's Notes

  1. https://www.vcalc.com/wiki/MichaelBartmess/Rotational+Speed+at+Latitude
  2. 3. distance = c = 2 phi r, r = R cos 35.5
  3. How many nautical miles are the 2 places on the same latitude map (60 degree S) and their longitudes differ by 160?
  4. The 2 places are on the same latitude map (60 degree S) and their longitudes differ by 160 degree. Shortest route in km and nm = ?