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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, 28° N, and City B. 15° S

Answer 1

To find the distance between City A and City B, we can use the formula Distance (in km) = radius of the Earth (in km) * difference in latitude (in radians). Converting the latitude values to radians, we calculate the difference in latitude and find the distance to be 4800 km.

Step-by-step explanation:

To find the distance in kilometers between City A and City B, we need to calculate the difference in latitude between the two cities. City A is located at 28° N and City B is located at 15° S. Since both cities lie on the same north-south line, we can consider their latitudes in the same direction. The formula to calculate the distance between two points on the Earth's surface is:

Distance (in km) = radius of the Earth (in km) * difference in latitude (in radians)

First, we need to convert the latitude values to radians. 1 degree is approximately equal to 0.0175 radians.

For City A (28° N), the latitude in radians is: 28 * 0.0175 = 0.49 radians

For City B (15° S), the latitude in radians is: -15 * 0.0175 = -0.26 radians

Next, we can calculate the difference in latitude in radians: 0.49 - (-0.26) = 0.75 radians

Finally, we can find the distance between the two cities using the formula: Distance = 6400 km * 0.75 radians = 4800 km

Learn more about Calculating distance between cities on the Earth's surface