Write the measure 29° 6' 6" as decimal to the nearest thousandth.

This angle is "29 degrees 6 minutes 6 seconds".

- - There are 60 minutes in 1 degree.

So 1 minute = 1/60 degree.

- - There are 60 seconds in 1 minute.

So 1 second = 1/60 minute = 1/3600 degree.

29 6' 6" = (29) ° + (6/60) ° + (6/3600) °

= (29) ° + (0.1) ° + (0.001666 ...) °

= 29.101666 ... °

Rounded to the nearest thousandth of a degree: 29.102°