Converting and Adding Angles

This video tutorial covers how to work with angles measured in degrees, minutes, and seconds. It explains the conversion between these units and decimal notation, and demonstrates how to add and subtract angles using these measurements. The tutorial also provides examples of converting angles from degrees, minutes, and seconds to decimal degrees and vice versa. The video aims to help viewers understand the traditional measurement of angles and perform calculations involving these units.

What are the main objectives of the video tutorial?

• To solve algebraic equations

• To understand trigonometric functions

• To add and convert angles in degrees, minutes, and seconds

• To learn about angles in radians

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

How many minutes are there in one degree?

• 90 minutes

• 30 minutes

• 60 minutes

• 120 minutes

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CCSS.HSF.TF.A.1

What is the equivalent of 1 second in terms of a degree?

• 1/1200 of a degree

• 1/1800 of a degree

• 1/3600 of a degree

• 1/60 of a degree

When adding angles, what should you do if the seconds exceed 60?

• Subtract the excess

• Convert them into degrees

• Ignore the excess

• Convert them into minutes

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CCSS.4.MD.C.7

In the addition example, what is the final result of 52 degrees, 78 minutes, and 39 seconds?

• 52 degrees, 78 minutes, 39 seconds

• 53 degrees, 78 minutes, 39 seconds

• 53 degrees, 18 minutes, 39 seconds

• 52 degrees, 18 minutes, 39 seconds

What is the first step in subtracting angles using the vertical method?

• Convert seconds to minutes

• Borrow 1 minute to get 60 seconds

• Subtract degrees directly

• Add 1 degree to the minutes

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CCSS.4.MD.C.7

In the subtraction example, what is the final result of 77 degrees, 61 minutes, and 60 seconds minus 29 degrees, 37 minutes, and 40 seconds?

• 47 degrees, 24 minutes, 20 seconds

• 48 degrees, 23 minutes, 20 seconds

• 49 degrees, 24 minutes, 20 seconds

• 48 degrees, 24 minutes, 20 seconds

How do you convert 24 minutes into degrees?

• 24/1800 of a degree

• 24/3600 of a degree

• 24/60 of a degree

• 24/1200 of a degree

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CCSS.HSF.TF.A.1

What is the decimal degree equivalent of 25 degrees, 24 minutes, and 37 seconds?

• 25.4130 degrees

• 25.4310 degrees

• 25.4031 degrees

• 25.4103 degrees

How do you convert the decimal part of degrees into minutes?

• Multiply by 100

• Divide by 60

• Divide by 100

• Multiply by 60