Surveying
The elevation of the star at elongation is obtained by

sin α = cos φ sec δ
sin α = cos φ cosec δ
sin α = sin φ sec δ
sin α = sin φ cosec δ

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Surveying
If altitude bubble is provided both on index frame as well as on telescope of a theodolite, then the instrument is levelled with reference toi) altitude bubble on index frameii) altitude bubble on index frame if it is to be used as a leveliii) altitude bubble on telescopeiv) altitude bubble on telescope if it is to be used as a levelThe correct answer is

both (ii) and (iii)
only (i)
both (i) and (iv)
only (iii)

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