Question

Convert 13°26'48" to a decimal number of degrees.

Answer 1

In degrees, we have the angle approximately as 13.45 degrees

By notation, what we have here is 13 degrees, 26 minutes and 48 seconds

So, what we have to do is to convert the minutes and seconds to degrees

We have this calculated as follows;

Mathematically, 1 minute is 0.0166667 degrees

Thus, we have 26 minutes as; 26 * 0.0166667 = 0.4333342 degrees

Furthermore, 1 second is 0.000277778 degrees

So we have 48 seconds as 48 * 0.000277778 = 0.01333344 degrees

So, we now proceed to add this to the initial 13 degrees that we had

So, we have the total as;

13 + 0.433 + 0.013 =13.45 degrees