IB Mathematics SL Prep

Answer: B - 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°