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Two points X and Y both on latitude 60oS have lon...

Two points X and Y both on latitude 60oS have longitude147oE and 153oW respectively. Find to the nearest kilometer the distance between X and Y measured along the parallel of latitude(Take 2πR = 4 x 104km, where R is the radius of the earth)

A.

16667km

B.

28850km

C.

8333km

D.

2233km

Correct answer is A

Length of an area = θ360 x 2πr

Longitude difference = 147 + 153 = 30NoN

distance between xy = θ360 x 2πR cos60o

= 300360 x 4 x 104 x 12

= 1.667 x 104km(1667 km)