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Question
Mathematics
  1. Convert 30 15 30 30^(@)15^(')30^('') to degrees in decimal form. Round to two decimal places.
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There are three units of angles in the measures of degrees: degrees, minutes, and seconds.
1 degree is equal to 60 minutes, and 1 minute is equal to 60 seconds.
So, to convert 30 15 30 30^(@)15^(')30^('') to decimal degrees, we need to add up the individual measures in the following way:
30 + 15 60 + 30 3600 30^(@)+(15^('))/(60)+(30^(''))/(3600)
Simplifying this expression, we get:
30 + 1 4 + 1 240 30^(@)+(1)/(4)^(@)+(1)/(240)^(@)
Adding the fractions, we get:
30 + 0.25 + 0.00139 30^(@)+0.25^(@)+0.00139^(@)
Rounding to two decimal places, we get:
30.25 30.25^(@)
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