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borishaifa [10]
3 years ago
11

Convert the angle 57°29'38" to decimal degrees and round to the nearest hundredth of a degree.

Mathematics
1 answer:
Daniel [21]3 years ago
5 0
The answer is 57.49°

57°29'38" = <span>57° + 29' + 38"
</span>
1° = 60'
x° = 29'
1 : 60 = x : 29
x = 29 * 1 : 60 = 0.48°
<u>29' = 0.48°</u>

1° = 3600''
x° = 38''
1 : 3600 = x : 38
x = 38 * 1 : 3600
x = 0.01°
<span><u>38'' = 0.01°</u>

</span>
57°29'38" = 57° + 29' + 38" = 57° + 0.48° + 0.01° = 57.49°
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