Answer :
Answer:
22.5 kilometers
Step-by-step explanation:
we know that
The scale drawing is
[tex]1:250,000[/tex]
That means
1 unit on a map represent 250,000 units in the actual
or
1 cm on a map represent 250,000 cm in the actual
or
1 cm on a map represent 2,500 m in the actual
or
1 cm on a map represent 2,5 km in the actual
therefore
using proportion
Find out how much represent 9 cm apart on the map
[tex]\frac{1}{2.5}\ \frac{cm}{km}=\frac{9}{x}\ \frac{cm}{km}\\\\x=9(2.5)\\\\x=22.5\ km[/tex]
The two villages are approximately 22.5 kilometers apart.
To determine the actual distance between the two villages, one must understand the scale of the map.
The scale given is 1:250,000, which means that 1 unit of measurement on the map corresponds to 250,000 of the same units in reality.
Given that the distance between the two villages on the map is 9 cm, we can set up a proportion to find the actual distance.
The proportion is based on the scale of the map:
[tex]\[ \frac{1 \text{ cm on map}}{250,000 \text{ cm in reality}} = \frac{9 \text{ cm on map}}{x \text{ cm in reality}} \][/tex]
[tex]\[ x = 9 \text{ cm} \times 250,000 \text{ cm} \][/tex]
[tex]\[ x = 2,250,000 \text{ cm} \][/tex]
Since 1 kilometer is equal to 100,000 centimeters, we convert the distance from centimeters to kilometers:
[tex]\[ x = \frac{2,250,000 \text{ cm}}{100,000 \text{ cm/km}} \][/tex]
[tex]\[ x = 22.5 \text{ km} \][/tex]
Therefore, the two villages are approximately 22.5 kilometers apart in reality.
