Question

Convert the expression from degrees, minutes, seconds (DMS) notation to decimal notation. Round your answer to four decimal places.23°10'44'

Answer 1

Given:

`23^o10^(\prime)44^(\doubleprime)`

Here degrees =23, minutes =10, and seconds =44.

We know that

`Decimal\text{ degr}ees\text{ = Degr}ees+((\min utes)/(60))+(\frac{\text{seconds}}{3600})`

Substitute degrees =23, minutes =10, and seconds =44, we get

`=23+(10)/(60)+(44)/(3600)`

`=23+0.1667+0.0122`

`=23.1789`

Hence the decimal place is

`23^o10^(\prime)44^(\doubleprime)=23.1789^o`