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

Solution (By Examveda Team)

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°.