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Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the r...


Question

Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of the earth is 7,000km. (\(\pi\) = 22/7)

Options

A)
1,100/3 km
B)
2,200/3 km
C)
22,000/3 km
D)
11,000/3 km

The correct answer is C.

Explanation:

/PQ/= Φ/360 × 2πR(along great circle)
Φ= 45°+15°=60°(located in different places)
/PQ/= 60/360 × 2×22/7×7000
/PQ/= 22,000/3 km

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