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