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The two targets are at a distance s apart, and each at s/2 from the centre, i.e. vertical axis. The horizontal angle α is measured carefully by means of a theodolite. Then what is the value of D in the subtense bar method?

The two targets are at a distance s apart, and each at s/2 from the centre, i.e. vertical axis. The horizontal angle α is measured carefully by means of a theodolite. Then what is the value of D in the subtense bar method? Correct Answer s/α

From the geometry, D=1/2 x s x cot α/2, where, s = the distance between the targets of subtense bar, and α = apex angle subtended by targets at O. As α is small tan α/2 = α/2, D = s/α.

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