Question

5. A map is drawn to a scale of 3:750.

i. The distance between two towns is 15.4 cm apart. What is the actual distance between
these two towns in metres?

Answer 1

23.1m

Explanation:

we define x to be the actual distance, y to be the distance on map (y=15.4cm)

if the map scale is 3:750, then by definition of scaling, x and y must satisfy:

`(y)/(x) = (3)/(750) = (1)/(150)`

we isolate x:

`x = 150 * y = 150 * 15.4 = 2310cm = 23.1m`