You measure a distance of 10 cm on a map with the following bar scale:

0m 15m in black part, 30 m in white part of bar scale

If 1 cm = 15m, what is the actual distance on the ground?

15 m

3 m

150 m

30 m

1 answer

To determine the actual distance on the ground based on the measurements provided and the scale given, we can follow these steps.

  1. Understanding the Scale: The bar scale indicates that 1 cm on the map corresponds to 15 m in reality.

  2. Distance Measured: You measure a distance of 10 cm on the map.

  3. Calculating Actual Distance: To find the actual distance, you can multiply the distance measured on the map by the scale factor:

    \[ \text{Actual distance} = \text{Measured distance} \times \text{Scale factor} \]

    Substituting the values:

    \[ \text{Actual distance} = 10 , \text{cm} \times 15 , \text{m/cm} = 150 , \text{m} \]

Therefore, the actual distance on the ground is 150 m.