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If the altitudes of a star at its upper and lower transits are 60° 30' and 19° 30' respectively, the latitude of the place, is
Answer & Solution
Correct Answer:
Option
C
Correct Answer: Option C: 40°
Explanation:
The latitude (\(\phi\)) of a place can be determined using the formula:
\[ \phi = \frac{\text{Altitude at Upper Transit} + \text{Altitude at Lower Transit}}{2} \]
Given:
Upper Transit Altitude = 60° 30'
Lower Transit Altitude = 19° 30'
\[ \phi = \frac{(60° 30') + (19° 30')}{2} \]
Converting minutes:
\[ \phi = \frac{(60.5 + 19.5)}{2} = \frac{80}{2} = 40° \]
Thus, the latitude of the place is 40°.
Explanation:
The latitude (\(\phi\)) of a place can be determined using the formula:
\[ \phi = \frac{\text{Altitude at Upper Transit} + \text{Altitude at Lower Transit}}{2} \]
Given:
Upper Transit Altitude = 60° 30'
Lower Transit Altitude = 19° 30'
\[ \phi = \frac{(60° 30') + (19° 30')}{2} \]
Converting minutes:
\[ \phi = \frac{(60.5 + 19.5)}{2} = \frac{80}{2} = 40° \]
Thus, the latitude of the place is 40°.
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Login2)
i) 90 - (60 30' + 19 30') = 10
ii) 19 30' + 10 = 29 30' ~ 30