Select the correct conversion from 45.5638° to degrees, minutes, and seconds.Group of answer choices45° 33’ 60’’45° 33’ 50’’45° 0’ 0’’
Question
Select the correct conversion from 45.5638° to degrees, minutes, and seconds.
Group of answer choices
- 45° 33’ 60’’
- 45° 33’ 50’’
- 45° 0’ 0’’
Solution
To convert from decimal degrees to degrees, minutes, and seconds, follow these steps:
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The whole units of degrees will remain the same (i.e., 45°).
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Multiply the decimal by 60 (0.5638 * 60 = 33.828 min). The whole number becomes the minutes (33').
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Take the remaining decimal and multiply by 60. (0.828 * 60 = 49.68 sec). The resulting number becomes the seconds (approximately 50'').
So, 45.5638° is equivalent to 45° 33’ 50’’. Therefore, the correct answer is 45° 33’ 50’’.
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