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 is A

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)