Question

Convert $1210.26°$ in degrees minutes and seconds

Answer 1

We know that,

$$\begin{gathered} 1°=60\text{'}\left(minutes\right) \\ 1\text{'}=60\text{'}\text{'}\left(seconds\right) \end{gathered}$$

Using the above information, let's convert the decimal part of the degree value to minutes and seconds -

Let's take the decimal part of $1210.26°$ -

$$\begin{gathered} 0.26°=0.26\times 60\text{'} \\ =15.6\text{'} \\ =15\text{'}+0.6\text{'}\times 60\text{'}\text{'} \\ =15\text{'}36\text{'}\text{'} \end{gathered}$$

Hence, $1210.26°$ is $1210°15\text{'}36\text{'}\text{'}.$