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What is the angle measure 47°18'41" equivalent to in decimal degrees?
Enter your answer, rounded to the nearest thousandth of a degree, in the box.

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lhannearaujo

The angle measure 47°18'41" equivalent to 47.311°

Conversion Data

In Math, the degrees are represented by (°), the minutes by (') and the seconds by (''). The relation between these units is given for:

1°=60'=3600'' (One degree is equal to 60 minutes and equal to 3600 seconds).

  • Convert the seconds to degrees

                      1°------------- 3600"

                     x°------------- 41"

                     [tex]3600x=41\\ \\ x=\frac{41}{3600} =0.01138^{\circ \:}[/tex]

  • Convert the minutes to degrees

                      1°------------- 60"

                     x°------------- 18"

                     [tex]60x=18\\ \\ x=\frac{18}{60} =0.3^{\circ \:}[/tex]

                     

  • Sum degrees

        [tex]47+0.01138+0.3=47.31138[/tex]

Like the exercise asks the result rounded to the nearest thousandth of a degree, the answer is: 47.311°.

Read more about the degrees, minutes, seconds to decimal degrees conversion here:

https://brainly.com/question/25794296

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