Question

Write the angle in degrees and minutes (simplify your answer is round to the nearest minute as needed)

Answer 1

`18^030^(\prime)`

Explanations:

From the given question, we are to convert the given degrees to degrees and minutes. Given the angle;

`18(1)/(2)^0`

Using the conversion rate

`1^0=60^(\prime)`

Convert 1/2 degrees to minutes first;

`\begin{gathered} (1)/(2)^0=x \\ 1^0=60^(\prime) \end{gathered}`

Cross multiply

`\begin{gathered} 1* x=(1)/(2)*60 \\ x=30 \\ \text{Hence }(1)/(2)^0=30^(\prime) \end{gathered}`

Convert 18.5 degrees to degrees and minutes

`\begin{gathered} 18(1)/(2)^0=18^0+(1)/(2)^0 \\ 18(1)/(2)^0=18^0+30^(\prime) \\ 18(1)/(2)^0=18^030^(\prime) \end{gathered}`

Hence the angle expressed in degrees and minutes is 18 degrees 30minutes