Answer:
[tex]18^030^{\prime}[/tex]
Explanations:
From the given question, we are to convert the given degrees to degrees and minutes. Given the angle;
[tex]18\frac{1}{2}^0[/tex]
Using the conversion rate
[tex]1^0=60^{\prime}[/tex]
Convert 1/2 degrees to minutes first;
[tex]\begin{gathered} \frac{1}{2}^0=x \\ 1^0=60^{\prime} \end{gathered}[/tex]
Cross multiply
[tex]\begin{gathered} 1\times x=\frac{1}{2}\times60 \\ x=30 \\ \text{Hence }\frac{1}{2}^0=30^{\prime} \end{gathered}[/tex]
Convert 18.5 degrees to degrees and minutes
[tex]\begin{gathered} 18\frac{1}{2}^0=18^0+\frac{1}{2}^0 \\ 18\frac{1}{2}^0=18^0+30^{\prime} \\ 18\frac{1}{2}^0=18^030^{\prime} \end{gathered}[/tex]
Hence the angle expressed in degrees and minutes is 18 degrees 30minutes
