Convert 75.2228° to degrees, minutes, and seconds.
A)75°13'22"
B)75°22'28"
C)75°37'13"
D)None of the above

Question

Quizplus · Accepted Answer

75.2228° is equal to75°13'22" in degrees, minutes and seconds.
Solution
One minute is defined as 1/60 of a degree (1° = 60 minutes)
One second is defined as 1/60 of a minute (one minute = 60 seconds)
Therefore, 1° = (60 minutes per degree) (60 seconds per minute) = 3600 seconds
1. Convert the decimal part of the angle reading (0.2228°) to minutes:
(0.2228°)(60 minutes per degree) = 13.368 minutes
2. Convert the decimal part of 13.368 minutes to seconds:
(0.368 minutes) (60 seconds per minute) = 22 seconds
3. Add together to obtain DMS 75°13'22"

Convert 75.2228° to Degrees, Minutes, and Seconds