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

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

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

$=23+\frac{10}{60}+\frac{44}{3600}$

$=23+0.1667+0.0122$

$=23.1789$

Hence the decimal place is

$23^o10^{\prime}44^{\doubleprime}=23.1789^o$