QuestionConvert the angle $-51^{\circ} 30^{\prime}$ to decimal degree notation.

Studdy Solution

STEP 1

Assumptions1. The given angle is in degrees and minutes. The negative sign indicates that the angle is measured in the clockwise direction3.1 degree is equal to60 minutes

STEP 2

To convert the angle to decimal degree notation, we first need to convert the minutes to degrees. We can do this by dividing the number of minutes by60, since there are60 minutes in a degree.
$Degrees = Minutes /60$

STEP 3

Now, plug in the given value for the minutes to calculate the equivalent in degrees.
$Degrees =30^{\prime} /60$

STEP 4

Calculate the equivalent of the minutes in degrees.
$Degrees =30^{\prime} /60 =0.^{\circ}$

STEP 5

Now that we have the equivalent of the minutes in degrees, we can add this to the given degrees to get the angle in decimal degree notation.
$Decimal\, degrees = Given\, degrees + Degrees\, from\, minutes$

STEP 6

Plug in the values for the given degrees and the degrees from minutes to calculate the decimal degrees.
$Decimal\, degrees = -51^{\circ} +0.5^{\circ}$

STEP 7

Calculate the decimal degrees.
$Decimal\, degrees = -51^{\circ} +0.5^{\circ} = -50.5^{\circ}$ The angle in decimal degree notation is $-50.5^{\circ}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms