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Degrees, Minutes, and Seconds to Decimal Conversion

Convert angles expressed in degrees, minutes, and seconds into decimal degrees.

Grade 12 Math DecimalsConvert Degrees, Minutes and Seconds to Decimal
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2 Short AnswerMultiple ChoiceFill in the BlanksCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.8

Topics

mathdecimalsanglestrigonometrygrade 12
7 sections · Free to use · Printable
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Degrees, Minutes, and Seconds to Decimal Conversion

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Convert the following angles from Degrees, Minutes, and Seconds (DMS) format to decimal degrees. Round your answers to four decimal places where necessary.

1. Convert 35° 45' 30'' to decimal degrees.

2. Convert 120° 15' 0'' to decimal degrees.

3. Convert 2° 0' 54'' to decimal degrees.

4. Which of the following is the correct decimal degree conversion for 75° 36' 18''?

a

75.6050°

b

75.6000°

c

75.6033°

d

75.6025°

5. To convert minutes to decimal degrees, you divide the minutes by  .

6. To convert seconds to decimal degrees, you divide the seconds by  .

7. An angle is measured as 150° 0' 45''. What is this angle in decimal degrees?

8. A ship's bearing is 270° 25' 12''. Convert this bearing to decimal degrees.

Protractor for measuring angles

A protractor is a tool used to measure angles in degrees. When converting to decimal degrees, we are expressing these measurements in a single decimal number rather than the DMS format.