How can you translate 27.2292 into degrees-minutes-seconds?

To convert a decimal degree such as 27.2292 into degrees-minutes-seconds, the process involves separating the whole number from the decimal portion.

First, take the integer part of the number, which is 27 degrees. Next, to find the minutes, you will take the decimal portion (0.2292) and multiply it by 60, since there are 60 minutes in a degree.

Calculating this:

0.2292 * 60 = 13.752.

The integer part of this result is 13 minutes.

Next, to convert the remaining decimal portion (0.752) into seconds, multiply it by 60 again:

0.752 * 60 = 45.12.

The integer part of this result is 45 seconds.

Putting it all together, 27.2292 degrees translates to 27 degrees, 13 minutes, and 45 seconds. This corresponds to the choice indicating 27 degrees 13' 45".

This outcome validates the conversion process, showing how the decimal degree is accurately represented in the degrees-minutes-seconds format.