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3. What is the fractional scale of the map: a. If a measure distance of 6 cm rep

ID: 154037 • Letter: 3

Question

3. What is the fractional scale of the map: a. If a measure distance of 6 cm represents an actual distance of 10 km, what is the fractional scale of the map? Show your work. b. If a measured distance of 9 inches represents an actual distance of 3.5 miles, what is the fractional scale? Show your work. 4. Express the fractional scale as a verbal scale a. 1:200,000: One centimeter represents Show your work. km b. 1: 190,080: One inch represents Show your work. miles Lab 2: Topographic Maps p. 9 of 9

Explanation / Answer

3)-

a) -

map reading = 6 cm

actual distance = 10 km = 10 x 1000m = 10000m = 10000 x 100 = 1000000 cm

scale = 6:100000 = 1:166667

b) -

map reading = 9 in

actual distance = 3.5 miles = 3.5 x 1.6 km = 5.6km = 5.6 x 100000cm = 560000 cm

scale = 9:560000 = 1:62222

4)-

a) - scale = 1:200000

1cm represents = 200000 cm = 200000/100000km = 2km

b)- scale = 1:190080

1 inch represents = 190080 inch = 190080 x 2.5cm = 475200cm = 475200/100000km = 4.752km = 4.752/1.6miles= 2.97miles   

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