Question

On a world​ globe, the distance between City A and City​ B, two cities that are actually 10,197 km​ apart, is 12.5 in. The actual distance between City C and City D is 1690 km. How far apart are City C and City D on this​ globe?

Answer 1

The distance between City C and City D on the globe is approximately 1,383,374.4 inches.

Step-by-step explanation:

The distance between City A and City B on the globe is 12.5 inches, which represents an actual distance of 10,197 km. Therefore, the scale factor is given by:

Scale factor = Actual distance / Represented distance

Scale factor = 10,197 km / 12.5 inches

Simplifying, we find:

Scale factor = 815.76 km/inch

To find the distance between City C and City D on the globe, we can use the same scale factor. The actual distance between City C and City D is 1690 km, so the represented distance on the globe is:

Represented distance = Scale factor * Actual distance

Represented distance = 815.76 km/inch * 1690 km

Simplifying, we find:

Represented distance = 1,383,374.4 inches

Therefore, City C and City D are approximately 1,383,374.4 inches apart on the globe.