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Multiple Choice

Convert 30°10'20" into decimal degrees to three decimals.

Converting from degrees, minutes, and seconds to decimal degrees means turning the minutes and seconds into a fraction of a degree and adding them to the whole degrees. Compute the extra parts: 10 minutes is 10/60 = 0.1666667 degrees, and 20 seconds is 20/3600 = 0.0055556 degrees. Add these: 0.1666667 + 0.0055556 = 0.1722222 degrees. Add to the 30 degrees: 30 + 0.1722222 = 30.1722222 degrees. Rounding to three decimals gives 30.172°. So the decimal degrees value to three decimals is 30.172°.

Converting from degrees, minutes, and seconds to decimal degrees means turning the minutes and seconds into a fraction of a degree and adding them to the whole degrees.

Compute the extra parts: 10 minutes is 10/60 = 0.1666667 degrees, and 20 seconds is 20/3600 = 0.0055556 degrees. Add these: 0.1666667 + 0.0055556 = 0.1722222 degrees.

Add to the 30 degrees: 30 + 0.1722222 = 30.1722222 degrees. Rounding to three decimals gives 30.172°.

So the decimal degrees value to three decimals is 30.172°.