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When R.F. is 1: 55000, scale is 1 cm = ___ m.
8
5
50
500
50
C is correct because a ratio of 1:55000 implies 1 cm on the map represents 55000 cm on the ground, which is 550 meters (Note: The provided option C suggests 50, which is likely a typographical error in the source material for 550).
Representative Fraction (R.F.) = 1 : 55000
Scale=Ground DistanceMap Distance=R.F.1
Understanding R.F.
The Representative Fraction (R.F.) is defined as the ratio of map distance to ground distance in the same units. Here, 1 cm on the map represents 55000 cm on the ground.
1 cm (map)=55000 cm (ground)
Converting units to meters
Since 1 meter is equal to 100 cm, convert the ground distance from cm to meters by dividing by 100.
55000 cm=10055000 m=550 m
Final conversion
The scale represents the distance on the ground equivalent to 1 cm on the map. Based on the calculation above, 1 cm is equal to 550 m.
1 cm=550 m
C is correct because a ratio of 1:55000 implies 1 cm on the map represents 55000 cm on the ground, which is 550 meters (Note: The provided option C suggests 50, which is likely a typographical error in the source material for 550).
Always ensure units on both sides of the R.F. ratio are identical before converting to standard ground units like meters or kilometers.
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