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GATE-2013 (29), Vertical aerial photograph is ____cm

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29) On a 1:10,000 scale map the length of a fault trace on a horizontal plane is represented as 5 cm. The same on a 1:25,000 scale vertical aerial photograph is ____cm

 (Thanks to Chandrasekhar, ANU)

Solution:

 The scale of first map is 1 cm = 10,000 cm,

 The length of the fault trace from the first scale is 5 cm that is the actual length of the fault trace of ground is 50,000 cm.

Now the scale of the second map is 1 cm = 25,000 cm.

Now the length of 50,000 cm fault is shown on map as? cm.

 1= 25,000 then

?(some X) = 50,000

Therefore X= $\frac{50000}{25000}$

X= 2 cm.

 The length of the fault on the second map is 2 cm.

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