Change the following to decimal degrees. If rounding is necessary, round to the nearest hundredth of a degree. 73° 54'
Change the following to decimal degrees. If rounding is necessary, round to the nearest hundredth of a degree. 73° 54'
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
![**Converting Degrees and Minutes to Decimal Degrees**
To convert an angle from degrees and minutes to decimal degrees, follow these steps:
1. **Understanding the Problem**: We need to convert the angle \(73^\circ 54'\) to decimal degrees and, if necessary, round to the nearest hundredth.
2. **Conversion Formula**:
\[ \text{Decimal Degrees} = \text{Degrees} + \left(\frac{\text{Minutes}}{60}\right) \]
3. **Applying the Formula**:
\[ 73^\circ 54' = 73 + \left(\frac{54}{60}\right) \]
\[ 73^\circ 54' = 73 + 0.9 \]
\[ 73^\circ 54' = 73.9^\circ \]
4. **Answer**: The angle \(73^\circ 54'\) is equal to \(73.9^\circ\) in decimal degrees.
**Interactive Support**:
- **Read It**: Access a detailed guide on the process of converting degrees and minutes to decimal degrees.
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Transcribed Image Text:**Converting Degrees and Minutes to Decimal Degrees**
To convert an angle from degrees and minutes to decimal degrees, follow these steps:
1. **Understanding the Problem**: We need to convert the angle \(73^\circ 54'\) to decimal degrees and, if necessary, round to the nearest hundredth.
2. **Conversion Formula**:
\[ \text{Decimal Degrees} = \text{Degrees} + \left(\frac{\text{Minutes}}{60}\right) \]
3. **Applying the Formula**:
\[ 73^\circ 54' = 73 + \left(\frac{54}{60}\right) \]
\[ 73^\circ 54' = 73 + 0.9 \]
\[ 73^\circ 54' = 73.9^\circ \]
4. **Answer**: The angle \(73^\circ 54'\) is equal to \(73.9^\circ\) in decimal degrees.
**Interactive Support**:
- **Read It**: Access a detailed guide on the process of converting degrees and minutes to decimal degrees.
- **Watch It**: Watch a video tutorial explaining the conversion step-by-step.
- **Talk to a Tutor**: Connect with a tutor for personalized assistance on this topic.
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