Final answer:
To convert 40.39° to degrees, minutes, and seconds, we keep the 40 degrees, multiply the decimal 0.39 by 60 to get 23.4 minutes, take 23 minutes, then multiply the 0.4 by 60 to get 24 seconds. The result is 40°23'24".
Step-by-step explanation:
To convert the decimal degrees 40.39° to degrees, minutes, and seconds, we'll start by noting that the degrees remain the same, so we have 40 degrees. The decimal part, 0.39, represents the minutes and seconds. Since each degree is made up of 60 minutes, we multiply 0.39 by 60 to find out how many minutes are in the decimal. This gives us 23.4 minutes. We take the integer part for the minutes, which is 23. To find the seconds, we take the decimal part of the minutes, which is 0.4, and multiply by 60. This calculation yields 24 seconds.
Therefore, 40.39° is equal to 40 degrees, 23 minutes, and 24 seconds (40°23'24").