Question

On a map A and B are 2 cms apart. If the map has an RF 1: 25000, the actual ground distance is:

• A. 1km
• B. 2km
• C. 2.5km
• D. 0.5km

Answer 1

Answer:

D. 0.5km

To calculate the actual ground distance from the given map distance and RF (Representative Fraction), we can use the formula:

Actual distance=Map distance×RF\text{Actual distance} = \text{Map distance} \times \text{RF}

Given:

• Map distance = 2 cm

• RF = 1:25000 (meaning 1 cm on the map represents 25,000 cm on the ground)

Now, substitute the values:

Actual distance=2 cm×25000=50000 cm\text{Actual distance} = 2 \, \text{cm} \times 25000 = 50000 \, \text{cm}

Since 1 kilometer = 100,000 cm, we can convert 50,000 cm to kilometers:

50000 cm=50000100000=0.5 km50000 \, \text{cm} = \frac{50000}{100000} = 0.5 \, \text{km}

So, the actual ground distance is 0.5 km.