Question

Find the distance in km between the following pair of cities, assuming they lie on the same north-south line. The radius of the Earth is approximately 6400 km.

City A, 35° N, and City B, 22° S

Answer 1

35+22 = 57 degrees between the two cities
The arc distance between them is radius x angle
Convert 57 degrees to radians is 57*Pi/180 = .995
Then 6400*.995 =6367 km.

Answer 2

The distance between the pair of cities is : 6366.96 km

• Since the cities lie on the same north north - south line :
• The total distance between them can be calculated thus :
• City A + City B = (35 + 22) = 57°

• The distance, s is related thus:
• s = rθ
• θ = angle in radian
• r = Radius, = earth's radius = 6400 km

Converting θ to radian :

• Angle in degree × (π / 180)

Therefore,

• 57 × (π / 180) = 0.9948376 radian

• The distance s, = 6400 km × 0.9948376 = 6366.96 km

The distance between the pair of cities is : 6366.96 km

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