QuestionConvert the angle $-81^{\circ} 33^{\prime}$ to decimal degrees.

Studdy Solution

STEP 1

Assumptions1. The given angle is in degrees and minutes. . We need to convert the angle to decimal degree notation.

STEP 2

The conversion from degrees and minutes to decimal degrees is done using the formula $Degrees + \frac{Minutes}{60}$

STEP 3

Now, plug in the given values for degrees and minutes into the formula.
$-81^{\circ} + \frac{33^{\prime}}{60}$

STEP 4

Perform the division operation.
$-81^{\circ} + \frac{33}{60} = -81^{\circ} +0.55^{\circ}$

STEP 5

Add the two values to get the angle in decimal degree notation.
$-81^{\circ} +0.55^{\circ} = -80.45^{\circ}$ So, the angle $-81^{\circ}33^{\prime}$ in decimal degree notation is $-80.45^{\circ}$ .

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QuestionConvert the angle $-81^{\circ} 33^{\prime}$ to decimal degrees.

Studdy Solution

STEP 1

Assumptions1. The given angle is in degrees and minutes. . We need to convert the angle to decimal degree notation.

STEP 2

The conversion from degrees and minutes to decimal degrees is done using the formula $Degrees + \frac{Minutes}{60}$

STEP 3

Now, plug in the given values for degrees and minutes into the formula.
$-81^{\circ} + \frac{33^{\prime}}{60}$

STEP 4

Perform the division operation.
$-81^{\circ} + \frac{33}{60} = -81^{\circ} +0.55^{\circ}$

STEP 5

Add the two values to get the angle in decimal degree notation.
$-81^{\circ} +0.55^{\circ} = -80.45^{\circ}$ So, the angle $-81^{\circ}33^{\prime}$ in decimal degree notation is $-80.45^{\circ}$ .

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QuestionConvert the angle −81∘33′-81^{\circ} 33^{\prime}−81∘33′ to decimal degrees.

Studdy Solution

STEP 1

Assumptions1. The given angle is in degrees and minutes. . We need to convert the angle to decimal degree notation.

STEP 2

The conversion from degrees and minutes to decimal degrees is done using the formulaDegrees+Minutes60Degrees + \frac{Minutes}{60}Degrees+60Minutes​

STEP 3

Now, plug in the given values for degrees and minutes into the formula.−81∘+33′60-81^{\circ} + \frac{33^{\prime}}{60}−81∘+6033′​

STEP 4

Perform the division operation.−81∘+3360=−81∘+0.55∘-81^{\circ} + \frac{33}{60} = -81^{\circ} +0.55^{\circ}−81∘+6033​=−81∘+0.55∘

STEP 5

Add the two values to get the angle in decimal degree notation.−81∘+0.55∘=−80.45∘-81^{\circ} +0.55^{\circ} = -80.45^{\circ}−81∘+0.55∘=−80.45∘So, the angle −81∘33′-81^{\circ}33^{\prime}−81∘33′ in decimal degree notation is −80.45∘-80.45^{\circ}−80.45∘.

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QuestionConvert the angle $-81^{\circ} 33^{\prime}$ to decimal degrees.

The conversion from degrees and minutes to decimal degrees is done using the formula $Degrees + \frac{Minutes}{60}$

Now, plug in the given values for degrees and minutes into the formula.
$-81^{\circ} + \frac{33^{\prime}}{60}$

Perform the division operation.
$-81^{\circ} + \frac{33}{60} = -81^{\circ} +0.55^{\circ}$

Add the two values to get the angle in decimal degree notation.
$-81^{\circ} +0.55^{\circ} = -80.45^{\circ}$ So, the angle $-81^{\circ}33^{\prime}$ in decimal degree notation is $-80.45^{\circ}$ .