Civil Engineering - Advanced Surveying - Discussion
Discussion Forum : Advanced Surveying - Section 3 (Q.No. 1)
1.
The altitudes of a circumpolar star at culminations are 70° and 10°, both culminations being north of zenith. The latitude of the place, is
Discussion:
3 comments Page 1 of 1.
M Azeem Irshad said:
6 months ago
Given:
Upper culmination altitude = 70
Lower culmination altitude = 10
Both culminations are north of the zenith, meaning the star never dips below the horizon.
Key Formula:
For a circumpolar star:
Altitude at upper culmination=90 −∣φ−δ∣
Altitude at lower culmination=90 −∣φ+δ∣
where:
φ = observer's latitude
δ = star's declination
Using the given values:
70 =90 −∣φ−δ∣
10 =90 −∣φ+δ∣
Rearranging:
∣φ−δ∣ = 20.
∣φ+δ∣ = 80.
Solving for φ:
Adding both equations:
∣φ−δ∣ + ∣φ+δ∣ = 20 +80 = 100 .
2φ = 100.
φ = 50
Answer:
The latitude of the place is 50° N.
Upper culmination altitude = 70
Lower culmination altitude = 10
Both culminations are north of the zenith, meaning the star never dips below the horizon.
Key Formula:
For a circumpolar star:
Altitude at upper culmination=90 −∣φ−δ∣
Altitude at lower culmination=90 −∣φ+δ∣
where:
φ = observer's latitude
δ = star's declination
Using the given values:
70 =90 −∣φ−δ∣
10 =90 −∣φ+δ∣
Rearranging:
∣φ−δ∣ = 20.
∣φ+δ∣ = 80.
Solving for φ:
Adding both equations:
∣φ−δ∣ + ∣φ+δ∣ = 20 +80 = 100 .
2φ = 100.
φ = 50
Answer:
The latitude of the place is 50° N.
Pratiksha said:
5 years ago
Please Explain the answer.
(1)
Priya said:
7 years ago
Please give the correct explanation.
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