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a) on a map the scale used is 1: 10,000. if two towns are separated by a straight 2.5 km road, what will be the distance between them on the map?

b) on a map 2.5 km is represented as 0.5 cm. what scale is being used on the map?

thanks heaps!

1 answer

(a) 2.5km/10^4 = 2.5*10^5cm/10^4 = 25 cm

.5cm:2.5km = .5:2.5*10^5 = 1:5*10^5 = 1:500,000

Just as a check, the 1:10,000 scale used 25cm, and .5cm is 1/50 of that, so the scale should be 1:500,000
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