Which of the following map scales would be used for topographic map shown?
1:24,000
1:250,000
1:500,000
1:1,000,000
1:5,000,000
Answers
The map scale which would be used for the topographic map shown is 1 : 24,000. Thus, the correct answer is option A.
What is a topographic map?A topographic map may be described as a geographical depiction of relief features such as mountains, plateaus, valleys and hills on a map.
From the scale given :
1.4 cm = 0.5 miles
Let, 1 cm = x
1.4x = 0.5 miles
x = 0.5 / 1.4
x = 0.357 miles
∴ 1cm = 0.357 miles
Converting Centimeter to miles :
0.357 miles = 0.357 × 160394.4 = 57453.581 cm
A ratio or representative fraction scale is represented in inches in the form 1 : 10,000 which means 1 inch on map equals to 10000 on the ground.
Converting the measurement in terms of inches,
1cm on map = 57453.581 cm on ground
Converting to inch :
1 inch = 0.394 cm
For the map scale :
1 inch = 0.394 × 57453.581 = 22,636 inches
Therefore, the closest scale which would be used is 1 : 24,000 ,which means, 1 inch on map represents 24000 inches on the ground.
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