Question

Calculate A map's scale is 1:5,000. If two points are 4.7 cm apart on the map, how far apart are they on the ground?

a) 0.0094 km
b) 23.5 km
c) 0.94 km
d) 47,000 km

Answer 1

To find the actual ground distance for two points 4.7 cm apart on a map with a scale of 1:5,000, multiply the map distance by the scale factor and convert to kilometers. The correct answer is 23.5 km.

Step-by-step explanation:

The student has asked to calculate the actual ground distance between two points that are 4.7 cm apart on a map with a scale of 1:5,000. To solve this, you would convert the map distance into the real-world distance using the given scale. A scale of 1:5,000 means that for every 1 unit on the map, it represents 5,000 units in reality. So,

1. Multiply the distance on the map by the scale factor: 4.7 cm × 5,000.
2. Convert the result into kilometers as the answer choices are in kilometers: 4.7 cm × 5,000 = 23,500 cm.
3. Knowing that 100,000 centimeters make a kilometer, divide by 100,000: 23,500 cm / 100,000 = 0.235 km.

So, the correct answer is b) 23.5 km, as 4.7 cm on the map equals to 23.5 kilometers on the ground.