Question

On a map with a scale of 1:50000 ,
the distance between two adjacent farmhouses is 3.2cm.
What is the corresponding distance on the ground in kilometers.
(ii) The shortest distance from the railway line to the river is 2.1km.
What distance on the map would represent this?​

Answer 1

Using the map scale given,

1. Corresponding distance between the two adjacent farmhouses on ground is: 1.6 km.

2. Shortest distance of the river (2.1 km) on the map is: 4.2 cm

What is a Map Scale?

A map scale can be defined as a ratio of the distance on a map in comparison of the actual distance on gorund.

Given:

Map scale = 1:50,000, this means that 1 cm on the map represnts 50,000  cm(0.5 km) on ground.

Therefore:

1. Corresponding distance between the two adjacent farmhouses on ground would be represented as x:

Thus:

3.2/x = 1/50,000

x = (50,000 × 3.2)/1

x = 160,000 = 1.6 km

2. Shortest distance of the river (2.1 km) on the map would be represnted as x:

x/2.1 = 1/0.5

x = (1 × 2.1)/0.5

x = 4.2 cm

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