Question

How do you convert the angle `-135^circ 36''` in decimal degree form?

Answer 1

`=> color(green)(135.01^@`

Explanation:

Conversion table of degrees, minutes and seconds

`60 sec = 1 min, 60 min - 1 degree`

`:. 1 degree = 60 * 60 = 3600 sec`

`135^@ 36” => 135^@ + 0’ + 36” = 135 + (36 / (60 * 60) )`

`=> 135 + (cancel (36)^color(red)1 / cancel(3600)^color(red)(100)) = 135(1/100) = 135.01^@`