Question

Convert the expression from degrees, minutes, seconds (DMS) notation to decimal notation. Round your answer to four decimal places.21°15'28

Answer 1

`21.2578^(\circ)`

Step-by-step explanation: We need to convert the degrees, minutes, and seconds in the decimal system:

`21^(\circ),15^{^(\prime\prime)}.28^{^(\prime)^(\prime)}`

15 Minutes in decimal conversion:

`15^{^(\prime)}=((1)/(60)\cdot15_{})=0.25`

28 Seconds in decimal conversion:

`28^{^(\prime\prime)}=((1)/(3600))\cdot28=0.00777777777777777777777777777778`

The final answer in decimals is as follows:

`\begin{gathered} 21+0.25+0.00777777777777777777777777777778= \\ =21.257777777777777777777777777778 \\ =21.2578^(\circ) \end{gathered}`