Question

Convert the angle to DMS form. You can round the seconds to the nearest whole number.

Answer 1

So,

Remember that the conversion of degrees into degree-minute-seconds can be done with the help of the conversion factor of 60.This is because:

1 degree = 60 minutes (60')

1 minute = 60 seconds (60'')

The decimal part of a degree is first multiplied by 60 to get the measure in minutes. Then, the decimal part of the minutes is multiplied by 60 to get the measure in seconds.

Let's convert 8.217°:

For this, we first need to take the decimal part for the solution.

`\begin{gathered} 0.217dg\cdot(60^(\prime))/(1dg)=13.02^(\prime) \\ \\ 13^(\prime)+(0.02^(\prime)\cdot(60^(\doubleprime))/(1^(\prime)))=13^(\prime)+1.2^(\doubleprime) \end{gathered}`

Therefore,

`8.217dg=8\degree,13^(\prime),1.2^(\doubleprime)`

That's 8 degrees, 13 minutes and 1.2 seconds