Question

Determine a distance from a given map on a map of 1:50000 and the ground distance=7.5km calculate the distance on the map in centimeter using the formula below 1/50000=?/7.5km​

Answer 1

Answer:

The distance on the map=15 cm

Explanation:

Scaling is a way of converting actual measurements to map measurements. Scales can be written in form of ratios, for example 1:2 or in form of 1 cm representing 2 km. In the latter case, the units are always in centimeters.

In the case above, the scale 1:50,000 generally implies that 1 centimeter unit on the map represents 50,000 centimeter units on the ground. The expression for determining the map measurements is;

M=S.F×G

where;

M=map measurements

S.F=scale factor

G=ground measurements

In our case;

M=unknown

S.F=1/50,000

G=7.5 km, convert to meters

1 km=1,000 km

7.5 km=?

G=7.5×1,000=7,500 m

1 m=100 cm

7,500 m=?

G=7,500×100=750,000 cm

replacing;

M=(1/50,000)×750,000=15 cm

The distance on the map=15 cm