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Question
Express the following angle in degree, minute and second:
`(1/5)^"c"`
Solution
We know that, 1° = 60' and 1' = 60''
`(1/5)^"c" = (1/5 xx 180/pi)^circ ...[because 1^"c" = (180/pi)^circ]`
= `(36/pi)^circ`
= `(36/3.14)^circ`
= (11.46)°
= 11° + (0.46)°
= 11° + (0.46 × 60)'
= 11° + (27.6)'
= 11° + 27' + (0.6)'
= 11° + 27' + (0.6 × 60)''
= 11°27' + 36''
= 11°27'36''.....(approx.)
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