Question

which of the following map scales would be used for the topographic map shown?

a.) 1:24,000
b.) 1:250,000
c.) 1:500,000
d.) 1:1,000,000
e.) 1:5,000,000

Answer 1

Answer:a)1:24000

Explanation:

Answer 2

The map scale which should be used for the topographic map shown is 1 : 24,000.

The map shown above is 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

Hence,

1 cm = x

1.4x = 0.5 miles

x = 0.5 / 1.4

x = 0.357 miles

Hence,

1cm = 0.357 miles

Centimeter to miles :

0.357 miles = 0.357 × 160394.4 = 57453.581 cm

A ratio or representative fraction scale is usually 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

Hence, the closest scale which could be used would be :

1 : 24,000 which means, 1 inch on map represents 24000 inches on the ground.

Also, the most frequently adopted scale by the United States Geological Survey Agency for topographic map creation is 1 : 24000

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