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23 July, 11:02

Find the distance in kilometers 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 degrees N, and City B, 19 degrees S.

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  1. 23 July, 12:54
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    The distance is 6028 km between city A and B.

    Step-by-step explanation:

    First we will find the arc in degrees which is covered by the cities.

    City A = 35 deg north

    City B = 19 Deg South

    The arc between the cities = 19 + 35 = 54 degrees

    converting it into Rad

    Arc = (π / 180) x 54

    Arc = 0.942 rad

    Now the distance is calculated by

    S = R x α

    S = 6400 x 0.942

    S = 6028 km
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