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

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