Respuesta :

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]

Answer:

The answer is 278°14'24''

Step-by-step explanation:

Given :  278.24

To find : written in DMS form.

Solution : We have given that 278.24

Multiply 24 by 60 to convert it into minute

We can write it as  278 + .24(60).

278°14.4'

Rewrite 278°14+.4'

4' = 4 ( 60) to convert minute in to second.

278°14+.4(60)

278°14'24''

The answer is 278°14'24'' ....