In
sexagesimal system, the angle that the rotating ray traces making one complete
revolution is taken to be 360°.
The following table of sexagesimal system shows the relation between them.
1 right angle = 90 degrees or 90°
1° = 60 minutes or 60’
1’ = 60 seconds or 60”
Workedout examples on how to express the sexagesimal system in degree, minute and second:
Express 85.12° in degree, minute and second.
Solution:
85.12° = 85° + (0.12)°
= 85° + (0.12 × 60)’ [Since, 1° = 60’]
= 85° + 7.2’
= 85° + 7’ + (0.2)’
= 85° + 7’ + (0.2 × 60)”
= 85° + 7’ + 12”
Therefore, 85.12° = 85° 7’ 12”
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