Convert 75°13'22" to decimal degrees.
A)75.1322°
B)75.223°
C)75.367°
D)None of the above

Question

Quizplus · Accepted Answer

75°13'22" is equal to 75.223° in decimal degrees.
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 seconds to degrees
(22 seconds)(1° per 3600 seconds) = 0.006°
2. Convert minutes to degrees
(13 minutes) (1° per 60 minutes) = 0.217°
3. Add together to obtain decimal degrees
75.00 + 0.006 = 0.217 = 75.223°

Convert 75°13'22" to Decimal Degrees