Answer:
B) 35.98°.
Step-by-step explanation:
Given : 35°58'38".
To find : Convert the angle 35°58'38" to decimal degrees and round to the nearest hundredth of a degree.
Solution : We have given 35°58'38".
60 minute = 1 degree.
1 minute = [tex]\frac{1}{60}[/tex] degree.
58 minute = [tex]\frac{58}{60}[/tex] degree.
1 minute = 60 seconds .
So,
60 second = [tex]\frac{1}{60}[/tex] degree.
1 second = [tex]\frac{1}{3600}[/tex] degree.
38 second = [tex]\frac{38}{3600}[/tex] degree.
Then total degree :
35° + ([tex]\frac{58}{60}[/tex] )° + (tex]\frac{38}{3600}[/tex])°.
35°58'38" = 35.98°
Therefore, B) 35.98°.
