Convert 75.2228° to degrees, minutes, and seconds.
  1. 75°13’22”
  2. 75°22’28”
  3. 75°37’13”
  4. None of the above
Explanation
Answer: A - 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”
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