Computer · Surveying
If two instrument stations P and R are in the same vertical plane as an elevated object, and the instrument axes are at the same level, find the reduced level (R.L.) of top point Q. Where: α1 = angle of elevation at P, α2 = angle of elevation at R, b = distance between instrument stations, S = staff reading on Bench Mark (B.M.).
- 1R.L. of B.M. + S + b × cos(α1) × cos(α2)cos(α1 - α2)
- 2R.L. of B.M. - S + b × sin(α1) × sin(α2)sin(α1 - α2)
- 3R.L. of B.M. + S + b × sin(α1) × sin(α2)sin(α1 - α2)✓
- 4R.L. of B.M. + S - b × cos(α1) × cos(α2)cos(α1 - α2)
Correct answer
R.L. of B.M. + S + b × sin(α1) × sin(α2)sin(α1 - α2)
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