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Question
The difference in the lengths of an arc and its subtended chord on the earth surface for a distance of 18.2 km, is only.
18.2 km nwjh ds fy, pki dh yEckbZ rFkk thok dh yEckbZ esa varj gksxk&
A.
1 cm
B.
1.5 cm
C.
10 cm
D.
100 cm
Answer ( Option B)

1.5 cm

Solution

For every 12 km the difference between length of an arc and its subtended chord on the earth is 1 cm.
 
In this surveying, the mean surface of the earth is considered as a plane and spheroidal shape is neglected.
All triangles formed by survey lines are considered plane triangles and the level line is regarded as straight.
In everyday life, we are concerned with the small portions of the earth's surface and the above assumption seems reasonable
 So, the length of an arc 12 km long lying on the earth's surface is only 1 cm greater than a subtended chord.

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