Convert each angle measure to degrees, minutes, and seconds. I...

Question

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. 59.0854°

Accepted Answer

Hey, everyone. Here, we are asked to convert the following angle to degrees minutes and seconds and round the answer to the nearest second when necessary. Here we are given the angle 73. degrees. Here we have four answer choice options. Answer choice. A 73 degrees, 17 minutes and 30 seconds. Answer B 73 degrees 11 minutes and 31 seconds. Answer C 73 degrees five minutes and 33 seconds and answer D degrees seven minutes and 34 seconds. So before we begin converting the given angle, we first need to break it up into the sum of its whole number and its decimal value. So breaking up our given angle, we have 73 degrees plus 0.09 to six degrees. And now we need to take the decimal value and convert it from degrees to minutes. So we need to recall the conversion value where we know that we have minutes in one degree. So now we need to multiply the decimal value by 60 minutes. So we have 73 degrees plus 0.0926 multiplied by 60 minutes. And now just multiplying the values together, we have 73 degrees plus 5.556 minutes. And now we need to repeat a similar process, but we now take the minutes value and break it up into the sum of its whole number and decimal value. So we have 73 degrees plus five minutes plus 0. minutes. And now we need to convert the decimal value of the minutes to seconds. So we need to recall that we have 60 seconds in one minute. So now converting, we have 73 degrees plus five minutes plus 0. multiplied by 60 seconds. And now just multiplying, we get 73 degrees plus five minutes plus 33.36 seconds. And now our last step is to round our seconds to the nearest second. And so we see that the 10th place has a value lower than five. So we need to round down. And so we are left with 73 degrees plus five minutes plus 33 seconds. And with this rounded answer, we are left with answer choice C where again we have 73 degrees, five minutes and 33 seconds. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. 59.0854°

Key Concepts

Decimal Degrees to Degrees, Minutes, and Seconds Conversion

Rounding to the Nearest Second

Understanding Angle Measurement Units

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