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

Solution:

Given, 35°58'38"

We have to convert the angle to decimal degrees nearest hundredth of a degree.

Converting seconds to seconds to degree,

38’’ = 38/(60×60) = 0.633/60 = 0.0105

Converting minutes to degree,

58’ = 58/60 = 0.9667

So, 35°58'38" = (35 + 0.9667 + 0.0105)

= (35 + 0.9772)

= 35.09772

= 35.98°

Therefore, the decimal degree is 35.98°

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

Summary:

The angle 35°58'38" to decimal degrees, round to the nearest hundredth of a degree is 35.98°.