Answer:
[tex]21.2578^{\circ}[/tex]
Explanation: We need to convert the degrees, minutes, and seconds in the decimal system:
[tex]21^{\circ},15^{^{\prime\prime}}.28^{^{\prime}^{\prime}}[/tex]
15 Minutes in decimal conversion:
[tex]15^{^{\prime}}=(\frac{1}{60}\cdot15_{})=0.25[/tex]
28 Seconds in decimal conversion:
[tex]28^{^{\prime\prime}}=(\frac{1}{3600})\cdot28=0.00777777777777777777777777777778[/tex]
The final answer in decimals is as follows:
[tex]\begin{gathered} 21+0.25+0.00777777777777777777777777777778= \\ =21.257777777777777777777777777778 \\ =21.2578^{\circ} \end{gathered}[/tex]
