Convert each angle measure to decimal degrees. If applicable, rou...

Question

Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. See Example 4(a).                                                                                                                                                 
                                                                                                                                                                                                                                                                                                                                                                                  
  38° 42' 18"

Accepted Answer

Hey, everyone here, we are asked to convert the following angle to decimal degrees and round the answer to three decimal places when necessary. Here we are given 79 degrees, 38 minutes and 10 seconds. We have four answer choice options. Answer choice. A 79.247 degrees. Answer B 79. degrees. Answer C 79. degrees and answer D 79.839 degrees. So before we begin converting our given angle, we first need to notice that we have the units of minutes and seconds. So we first need to recall the conversion values where we know that we have 60 minutes in one degree and we also have 3600 seconds in one degree. So now in order to convert our minutes and seconds, we need to divide these values by their respective conversion values. So our expression becomes 79 degrees plus 38 divided by degrees plus 10, divided by degrees. And now we just need to start simplifying our expression. So we have 79 degrees plus 0. degrees plus 0.0028 degrees. And now we just need to sum our three values here. And so we have 79. degrees. And then we are asked to round our answer to three decimal places. So rounding to the nearest thousands place, we get 79. degrees. And with our final rounded answer, we are left with answer choice B where again, our angle in decimal degrees is 79.636 degrees. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Convert each angle measure to decimal degrees. If applicable, round to the nearest thousandth of a degree. See Example 4(a). 38° 42' 18"

Key Concepts

Angle Measurement

Conversion to Decimal Degrees

Rounding Numbers

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