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
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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?
Please answer clearly. I will upvote
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