Question

Convert the angle below to decimal form. Round to three decimal places.

Answer 1

Given angle is

`62^o39^(\prime)12^(\doubleprime)`

We know that

`\begin{gathered} 1^{^(\prime)}=((1)/(60))^o^{} \\ 1^(\doubleprime)=((1)/(3600))^o \end{gathered}`

Therefore,

`\begin{gathered} 62^o39^(\prime)12^(\doubleprime)=62^o+39^(\prime)+12^(\doubleprime) \\ =62^o+((39)/(60))^o+((12)/(3600))^o \\ =62^o+0.65^o+0.003^o \\ =62.653^o \end{gathered}`

Hence, the decimal form is 62.653 degrees.