Question Video: Converting the Measure of an Angle from Degrees, Minutes, and Seconds to Decimal Degrees Mathematics • Third Year of Preparatory School

Video Transcript

Convert the angle 46 degrees, 15 minutes, and 20 seconds to decimal degrees, giving the answer to three decimal places.

One degree is equal to 60 minutes. As there are 60 seconds in a minute, one degree is also equal to 3600 seconds. To convert 15 minutes to degrees, we need to divide by 60. This is equal to 0.25 degrees. To convert 20 seconds to degrees, we need to divide 20 by 3600. 20 divided by 3600 is equal to 0.005 recurring. Adding 0.25 degrees and 0.005 recurring degrees gives us 0.256 degrees to three decimal places.

15 minutes and 20 seconds is equal to 0.256 degrees. This means that 46 degrees, 15 minutes, and 20 seconds is equal to 46.256 degrees to three decimal places.