Question

Given below are two statements:
Statement (I): In geodetic surveying, the curvature of the earth is taken into account, since large areas are covered.
Statement (II): In plane surveying, the curvature of the earth is not taken into account.
In light of the above statements, choose the most appropriate answer from the options given below.

• A. Both Statement (I) and Statement (II) are correct.
• B. Both Statement (I) and Statement (II) are incorrect.
• C. Statement (I) is correct but Statement (II) is incorrect.
• D. Statement (I) is incorrect but Statement (II) is correct.

Hint:

- Plane Surveying: Curvature neglected (small areas).
- Geodetic Surveying: Curvature considered (large areas).
This basic definition confirms that both statements are correct.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Surveying is classified based on whether the Earth's spherical shape is considered in calculations.

Step 3: Detailed Explanation:
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Statement I evaluation: Geodetic surveying is performed over vast areas (typically greater than \(250 \text{ km}^2\)). For such scales, ignoring the curved shape of the Earth introduces significant errors. Calculations use spherical trigonometry, accounting for curvature. Thus, Statement I is correct.
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Statement II evaluation: Plane surveying covers small areas where the curvature of the Earth has negligible impact. The survey surface is assumed to be a flat horizontal plane. Thus, Statement II is correct.

Step 4: Final Answer:
Both Statement (I) and Statement (II) are correct.