question archive On a map with a fractional scale of 1:24,000, 5 inches on the map represents how many miles (rounded to the nearest one-tenth) on Earth's surface? Please answer clearly

On a map with a fractional scale of 1:24,000, 5 inches on the map represents how many miles (rounded to the nearest one-tenth) on Earth's surface? Please answer clearly

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On a map with a fractional scale of 1:24,000, 5 inches on the map represents how many miles (rounded to the nearest one-tenth) on Earth's surface?

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scale 1:24000 (1cm on the map is equivalent to 24000cm on the Earth surface)

This can also be represented as;

1cm=240M on Earth surface

 

convert 240m into miles

1Mile =1609.34meters

Therefore

240/1609.34=0.1491miles

Now

1cm=0.1491miles on the Earth surface

 

Convert 5 Inches to cm

1inch =2.54cm

5Inches =12.7cm

combine the two

our aim is to find out the number of miles on the Earth surface represented by 5inches on the map

therefore

1cm=0.1491Miles, what about12.7cm (5inches)

12.7*0.1491=1.89357miles(rounded to the nearest one-tenth)

=1.9MILES

5inches on the Map is represented by 1.9miles on the Earth surface using the schale1:24000

 

 

 

Step-by-step explanation

scale 1:24000 (1cm on the map is equivalent to 24000cm on the Earth surface)

This can also be represented as;

1cm=240M on Earth surface

convert 240m into miles

1Mile =1609.34meters

1*240/1609.34=0.1491MILES

Convert 5 Inches to cm

1inch =2.54cm

5Inches =12.7cm

1cm=0.1491miles

12.7cm=?

12.7*0.1491miles

=1.89357mile(round off)

=1.9MILES

5inches on the Map is represented by 1.9miles on the Earth surface using the schale1:24000

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