The Position of two A and B on the earth’s surface are (36°N, 49°E) and (36°N, 131°W ) respectively.

(a) The difference in long between town A and town B (2 marks)
(b)) Given that the radius of the earth is 6370, calculate the distance town A and town B.



(c) Another town, C is 840 east of town B and on the same latitude as towns A and B. Find the longitude C.

1 answer

LOL, usually there are two answers, going east or going west.
However this time
49 + 131 = 180 degrees Exactly :) halfway around
so what is the circumference at 36 North latitude
c = Cat equator * cos (latitude)
c = 2 pi (6370) * cos 36 = 32,380
We want halfway around so 16,190 KILOMETERS ( sure had me confused, we do navigation in nautical miles and your answers did not make sense to me)

B is 131 west of Greenwich C is 840 (Km I assume) East of B so less west
840 km (180 degrees/16,190 km) = 9.34 degrees
131 - 9.34 = 121.66 degrees West (swam to golden state shore from point B)