If the format of the angle with measure 67⁰35'42" is changed to decimal degree, then which of the following sums leads to the correct conversion?*67 + (35/60) + (42/3600)67 + (35/60) + (42/360)67 + (35/360) + (42/3600)67 + (35/3600) + (42/60)
Question
If the format of the angle with measure 67⁰35'42" is changed to decimal degree, then which of the following sums leads to the correct conversion?*67 + (35/60) + (42/3600)67 + (35/60) + (42/360)67 + (35/360) + (42/3600)67 + (35/3600) + (42/60)
Solution
The correct conversion of the angle measure from degrees, minutes, and seconds to decimal degrees is given by the sum 67 + (35/60) + (42/3600). This is because there are 60 minutes in a degree and 3600 seconds in a degree. Therefore, to convert the minutes and seconds to decimal form, you divide by 60 and 3600 respectively.
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