Which decimal value corresponds to 30°10'20" when converted to three decimals?

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Multiple Choice

Which decimal value corresponds to 30°10'20" when converted to three decimals?

When converting from degrees, minutes, and seconds to decimal degrees, you add minutes divided by 60 and seconds divided by 3600 to the whole degrees. For 30°10'20": - minutes: 10/60 = 0.166666... - seconds: 20/3600 = 0.005555... Sum: 0.166666... + 0.005555... = 0.172222... Add to the degrees: 30 + 0.172222... = 30.172222... Rounded to three decimals: 30.172°. The value 30.175° would come from 30°10'30" (30'30"), not 30°10'20". So the correct three-decimal conversion is 30.172°.

When converting from degrees, minutes, and seconds to decimal degrees, you add minutes divided by 60 and seconds divided by 3600 to the whole degrees. For 30°10'20":

  • minutes: 10/60 = 0.166666...
  • seconds: 20/3600 = 0.005555...

Sum: 0.166666... + 0.005555... = 0.172222...

Add to the degrees: 30 + 0.172222... = 30.172222...

Rounded to three decimals: 30.172°. The value 30.175° would come from 30°10'30" (30'30"), not 30°10'20". So the correct three-decimal conversion is 30.172°.

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