Surveying
If ‘δ’ is the declination of the star and ‘φ’ is the latitude of the observer, then the azimuth of the star at elongation is given by

sin z = sec φ . cos δ
cos z = sec φ . cos δ
tan z = sec φ . cos δ
None of these

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Surveying
Theodolite is an instrument used for

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

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