Surveying
The elevation of the star at elongation is obtained by

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

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Surveying
Theodolite is an instrument used for

measurement of both horizontal and vertical angles
measurement of vertical angles only
measurement of horizontal angles only
tightening the capstan-headed nuts of level tube

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