Respuesta :

Statement Problem: Convert

[tex]158.769^{\circ}[/tex]

to degrees, minutes and seconds.

Solution:

Step 1: Use the whole number part of the decimal as the degrees.

Thus, blank 1 is;

[tex]158\text{ degr}ees[/tex]

Step 2: Multiply the remaining decimal by 60;

[tex]0.769\times60=46.14[/tex]

Use the whole number part of the answer as the minutes.

Thus, blank 2 is;

[tex]46\text{ minutes}[/tex]

Step 3: Multiply the remaining decimal by 60;

[tex]0.14\times60=8.4[/tex]

Thus, blank 3 is;

[tex]8.4\text{ minutes}[/tex]