GATE CE 2025 Set 2 — Question 35
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Geomatics Engineering → Maps & Coordinate Systems → Scale
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Question
A surveyor measured the distance between two points on the plan drawn to a scale of and the result was . Later, it was discovered that the scale used was .The true distance between the points (in m) is ______ (round off to the nearest integer).
Correct answer
936 to 936
Solution
Given:
The surveyor obtained by using a scale of . Therefore, the physical length on the paper is:Step 2: Calculate the true distance ()
Using the actual scale of the plan (), the true ground distance is:Rounding to the nearest integer, the true distance is .
- Actual scale of the plan ():
- Measured distance ():
- Scale used by the surveyor ():
The surveyor obtained by using a scale of . Therefore, the physical length on the paper is:Step 2: Calculate the true distance ()
Using the actual scale of the plan (), the true ground distance is:Rounding to the nearest integer, the true distance is .
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