In the tangential method of techeormetry, the following notations have been used:
α1 = angle of elevation corresponding to the upper vane
α2 = angle of elevation corresponding to the lower vane
S = distance between the vanes - staff intercept
D = horizontal distance
V = vertical distance
In this context, match list I (Quantity to be computed under the given conditions) with List II (Equation to be used) and select the correct answer using the codes given below the lists :
| List I | List II | ||
| A. | 'D' when both the angles are angles of elevation | 1. | \(\frac{{S\tan {\alpha _2}}}{{\tan {\alpha _2} - \tan {\alpha _1}}}\) |
| B. | 'V' when both the angles are angles of elevation | 2. | \(\frac{S}{{\tan {\alpha _2} - \tan {\alpha _1}}}\) |
| C. | 'D' when one angle is the angle of elevation and the other that of depression | 3. | \(\frac{{S\tan {\alpha _2}}}{{\tan {\alpha _1} - \tan {\alpha _2}}}\) |
| D. | 'V' when both angles are angles of depression | 4. | \(\frac{S}{{\tan {\alpha _1} - \tan {\alpha _2}}}\) |
1
A - 3, B - 4, C - 1, D - 2
2
A -4, B - 3, C - 1, D - 2
3
A - 3, B - 4, C - 2, D - 1
4
A - 4, B - 3, C - 2, D - 1