Convert the angle 35°58'38" to decimal degrees and round to the nearest hundredth of a degree.

a. 35.99°

b. 35.98°

c. 35.94°

d. 36.04°

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 = degree.

58 minute = degree.

1 minute = 60 seconds .

So,

60 second =   degree.

1 second =   degree.

38 second =   degree.

Then total degree :

35° + ( )° + (tex]\frac{38}{3600}[/tex])°.

35°58'38" =  35.98°

Therefore, B)  35.98°.