Mcguire Nichols
08/28/2024 · Junior High School
onvert the angle to a decimal in degrees. \( 26^{\circ} 19^{\prime} 23^{\prime \prime} \) \( 26^{\circ} 19^{\prime} 23^{\prime \prime}=\square^{\circ} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To convert the angle \( 26^{\circ} 19^{\prime} 23^{\prime \prime} \) to decimal degrees, we can use the following formula:
\[
\text{Decimal Degrees} = \text{Degrees} + \left(\frac{\text{Minutes}}{60}\right) + \left(\frac{\text{Seconds}}{3600}\right)
\]
In this case:
- Degrees = 26
- Minutes = 19
- Seconds = 23
Now, we can plug in the values:
\[
\text{Decimal Degrees} = 26 + \left(\frac{19}{60}\right) + \left(\frac{23}{3600}\right)
\]
Calculating each part:
1. Convert minutes to degrees:
\[
\frac{19}{60} \approx 0.3166667
\]
2. Convert seconds to degrees:
\[
\frac{23}{3600} \approx 0.0063889
\]
Now, add these values together:
\[
\text{Decimal Degrees} = 26 + 0.3166667 + 0.0063889 \approx 26.3230556
\]
Thus, the angle in decimal degrees is approximately:
\[
\boxed{26.3231^{\circ}}
\] (rounded to four decimal places).
Quick Answer
The angle \( 26^{\circ} 19^{\prime} 23^{\prime \prime} \) in decimal degrees is approximately \( 26.3231^{\circ} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
(0)
Ask Real Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
PREV 
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
