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Degrees, Minutes, and Seconds to Decimal Degrees Conversion

Convert angles from degrees, minutes, and seconds (DMS) format to decimal degrees (DD) in this Grade 11 math worksheet.

Grade 11 Math DecimalsConvert Degrees, Minutes and Seconds to Decimal
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Includes

Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

mathgrade 11anglesdegreesminutessecondsdecimal conversion
7 sections · Free to use · Printable
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Degrees, Minutes, and Seconds to Decimal Degrees Conversion

Name:

Date:

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Convert each angle from Degrees, Minutes, and Seconds (DMS) format to Decimal Degrees (DD). Round your answers to four decimal places where necessary.

1. Convert 45° 30' 0" to decimal degrees.

2. Convert 120° 15' 45" to decimal degrees.

3. Convert 7° 0' 36" to decimal degrees.

4. Convert 270° 59' 59" to decimal degrees.

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

2. There are   seconds in one minute.

3. The formula for converting DMS to DD is Degrees + (Minutes / 60) + (Seconds /  ).

1. Which of the following is the correct decimal degree equivalent of 60° 30' 0"?

a

60.0300°

b

60.5000°

c

60.3000°

d

60.0500°

2. An angle is given as 15° 0' 0". What is its decimal degree equivalent?

a

15.0000°

b

15.0015°

c

15.1500°

d

15.6000°

1. 1 degree is equal to 60 minutes.

T

True

F

False

2. 1 minute is equal to 100 seconds.

T

True

F

False

A ship's navigation system records its position as 34° 25' 12" North latitude. Convert this latitude to decimal degrees. Use the protractor image to visualize the angle.

Protractor