The actual distance between two places is one mile.The map shows the distance between those two places as 5 cm. Write the scale of the map:_____= 1 mile
Answers
Answer:
It is simply calculation of scale,and scale of the map is defined as “ratio of a distance on the map to the corresponding distance on the ground.”
Scale of map=distance on the map/distance on the ground.(unit of map and ground distance must be same.)
According to question,1 cm on the map distance equal to 5 km on the ground distance.
Step 1:-convert one of them in single unit, either cm convert into km or vice versa.
(I converted km into cm)
5km*1000=5000m
5000m*100=500000cm. (1)
Step 2:-put the value in the formula of scale of map.
Distance on map=1cm
Distance on ground=500000
Then,
Scale of map=1/500000…(ii)
Now, move to another portion of the question where the distance on the ground are given, that is 20km.
Step 3:-convert 20km to cm scale
20km*1000=20000m
20000m*100=2000000cm. (iii)
Scale of map=distance on map/distance on ground.
Then, distance on map=scale of map*distance on ground. (By cross multiplication)
From equation (ii) and (iii) put the values:-
Distance on map=1/500000*2000000cm
Distance on map=4cm
Answer:
32186.8 is the scale of the map.
Explanation:
Find both the actual and measured distances of two points on your map.
Divide the actual distance by the measured distance on the map for your scale.
Hope it helps!
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