For first-order triangulation, the strength of figure R (between bases) should be in the desirable limit equal to which value?

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Multiple Choice

For first-order triangulation, the strength of figure R (between bases) should be in the desirable limit equal to which value?

Explanation:
In first-order triangulation, the strength of the figure between the bases, denoted R, is a geometry-conditioning measure. It indicates how well the arrangement of triangles distributes information so that errors in measurements don’t amplify excessively during the adjustment. A practical guideline is to keep this strength around a moderate value that balances angular diversity with feasible baselines. The desirable limit for this measure is 20. Keeping R near 20 ensures the network is well conditioned: it’s not so weak that errors propagate badly, and not so tight as to be impractical to achieve in the field. Values noticeably above 20 suggest weaker conditioning and higher potential for error amplification, while much lower values imply overly restrictive geometry that isn’t typically necessary.

In first-order triangulation, the strength of the figure between the bases, denoted R, is a geometry-conditioning measure. It indicates how well the arrangement of triangles distributes information so that errors in measurements don’t amplify excessively during the adjustment. A practical guideline is to keep this strength around a moderate value that balances angular diversity with feasible baselines. The desirable limit for this measure is 20.

Keeping R near 20 ensures the network is well conditioned: it’s not so weak that errors propagate badly, and not so tight as to be impractical to achieve in the field. Values noticeably above 20 suggest weaker conditioning and higher potential for error amplification, while much lower values imply overly restrictive geometry that isn’t typically necessary.

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