Convert the angle 61°38'45" to decimal degrees, and round to the nearest hundredth of a degree.

Solution:

Given, 61°38'45"

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

Converting seconds to degree,

45’’ = 45/(60×60) = 0.75/60 = 0.0125

Converting minutes to degree,

38’ = 38/60 = 0.6333

So, 61°38'45" = (61 + 0.6333 + 0.0125)

By further calculation

= (61 + 0.6458)

By addition

= 61.6458

= 61.65°

Therefore, the decimal degree is 61.65°

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Convert the angle 61°38'45" to decimal degrees, and round to the nearest hundredth of a degree.

Summary:

The angle 61°38'45" to decimal degrees, round to the nearest hundredth of a degree is 61.65°.