Convert decimal degrees to degrees, minutes, seconds, and convert...

Question

Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree.                                                                                                                                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                                                 
                                                                47° 25' 11"

Accepted Answer

Hello, everyone. We are asked to convert the following angle to decimal degrees. We want a round the answer to three decimal places. When necessary. We are given 61 degrees 34 minutes, 16 seconds. Our answer choices are a 61.751 degrees. B 61.715 degrees C 61.517 degrees D 61.571 degrees. So looking at what we're given 61 degrees, 34 minutes, 16 seconds, I know that 61 degrees is going to be the integer part of my decimal degree at the end. So I'm not gonna touch that part, but I do want to work to get everything else into degrees. So I'm gonna start by making seconds into minutes. Since I know there are 60 seconds in a minute. I can take 16 seconds. Divide it by 60. And this will give me how many minutes? 16 seconds is and that is 0.26 repeating which in the end I'm gonna round to three decimal places. But for now I'm gonna write as 0.26667. So now my minutes are gonna be 34 minutes 0.26667. So that's gonna be 34.26667 minutes. And I wanna take these minutes and get them into degrees. So I'm gonna take the minutes. We have 34. and divided by 60 since there are minutes in one degree. So when I do that division, I get zero point 5711. So now knowing that this is degrees, I can go back to the 61 degrees I had before and rate 61.571 because I'm rounding it to three decimal places degrees. So we end up with 61.571 degrees, which is answer choice. D have a nice day.

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Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 47° 25' 11"