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
