What is the latitude of 40.28882° in degrees, minutes, and seconds? Label the missing pieces to find the latitude in degrees, minutes, seconds. Round the seconds to the nearest hundredth.

Respuesta :

The latitude of 40.28882° in degrees, minutes, and seconds is 40°17'19.75".

Since  40.28882° =  40° + 0.28882°, we convert the decimal part to minutes.

Since 1° = 60', then

0.28882° = 0.28882° × 60'/1°

0.28882° = 17.3292'

Since 17.3929' = 17' + 0.3929', we convert the decimal part to seconds.

Since 1' = 60'', then

0.3929' = 0.3929'  × 60"/1'

0.3929' = 19.752"

19.75" to the nearest hundredth of a second.

So, 40.28882° = 40° + 0.28882°

= 40° + 17' + 0.3929'

= 40° + 17' + 19.75"

= 40°17'19.75"

So, the latitude of 40.28882° in degrees, minutes, and seconds is 40°17'19.75".

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