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 2(pi)R = 4 x 104km, where R is the radius of the earth)
-
A.
16667km -
B.
28850km -
C.
8333km -
D.
2233km
Correct Answer: Option A
Explanation
Length of an area = (frac{theta}{360}) x 2(pi)r
Longitude difference = 147 + 153 = 30NoN
distance between xy = (frac{theta}{360}) x 2(pi)R cos60o
= (frac{300}{360}) x 4 x 104 x (frac{1}{2})
= 1.667 x 104km(1667 km)