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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)

A) 16667km

B) 28850km

C) 8333km

D) 2233km

### 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)

## 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)