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

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Surveying
The difference between a level line and a horizontal line is that

horizontal line is normal to plumb line while level line may not be normal to the plumb line
level line is normal to plumb line while horizontal line may not be normal to plumb line at the tangent point to level line
both are same
level line is a curved line while hori-zontal line is a straight line

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Surveying
Sidereal day

All listed here
Is the period of time taken by the earth in making a complete rotation with reference to stars
Is divided into the conventional hours, minutes and seconds
Is slightly shorter than an ordinary solar day

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