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

Convert the expression from degrees, minutes, seconds (DMS) notation to decimal notation-example-1
User Matejs
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1 Answer

2 votes

Answer:


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}

User Joe Isaacson
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