Answer: [tex]278\°14'24''[/tex]Step-by-step explanation: You know that: [tex]1\ hour=60\ minutes\\\\1\ minute=60\ seconds[/tex] Then, in order to convert the given decimal degree to Degrees Minutes Seconds (DMS), you need to follow these steps: 1) The whole number 278 gives you the degrees. 2) Multiply 0.24 by 60: [tex]0.24*60=14.4[/tex] The whole number 14 gives you the minutes. 3) Multiply 0.4 by 60: [tex]0.4*60=24[/tex] This gives you the seconds. Therefore, 278.24 written in DMS form is: [tex]278\°14'24''[/tex]