Surveying
If α, H, A and δ be the altitude, hour angle, azimuth and declination of a circumpolar star at its elongation, in latitude λ, the following relation holds good

cos H = tan λ/tan δ
All listed here
sin α = sin λ/sin δ
sin A = cos δ/cos λ

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Surveying
Theodolite is an instrument used for

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

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