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Two points X and Y both on latitude 60oS have longitude 147oE and 153oW respecti...


Question

Two points X and Y both on latitude 60oS have longitude 147oE 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)

Options

A) 16667km

B) 28850km

C) 8333km

D) 2233km

The correct answer is A.

Explanation:

Length of an area = \(\frac{\theta}{360}\) × 2\(\pi\)r
Longitude difference = 147 + 153 = 300oN
distance between xy = \(\frac{\theta}{360}\) × 2\(\pi\)R cos60o
= \(\frac{300}{360}\) × 4 × 104 × \(\frac{1}{2}\)
= 1.667 × 104km (1667 km)

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Dicussion (1)

  • Length of an area = \(\frac{\theta}{360}\) × 2\(\pi\)r
    Longitude difference = 147 + 153 = 300oN
    distance between xy = \(\frac{\theta}{360}\) × 2\(\pi\)R cos60o
    = \(\frac{300}{360}\) × 4 × 104 × \(\frac{1}{2}\)
    = 1.667 × 104km (1667 km)

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