The distance on the terrain between points A and B is 12.8 km, and between points B and C – 9.6 km

| April 12, 2021 | education

The distance on the terrain between points A and B is 12.8 km, and between points B and C – 9.6 km. In this case, the distance between A and B on the map is 3.2 cm. Find: 1) the distance between B and C on the map; 2) map scale.

To solve the problem, we first find the ratio of the real distance on the ground between points A and B and the distance on the map between these points.

We get:

12.8 / 3.2 = 4. (Distance on the map is 4 times less.)

Find the distance on the map between points B and C.

9.6 / 4 = 2.4 cm.

Find the scale.

Since the distance on the ground is recorded in kilometers, and the distance on the map is written in centimeters, then to determine the scale, the resulting ratio should be converted to centimeters.

4 * 1000 * 100 = 400000.

In this case, the scale of the map will be:

1: 400000.



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