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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.

Respuesta :

Answer:

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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