Earth Sun 1 AU d=1 pc pc p=1 arc second Diagram: Geometry of parallax. Note that the angle shown is bigger than 1 arcsecond, because the diagram is not drawn to the same scale horizontally and vertically -- 1 pc is actually 206,265 AU. To scale the drawing would look very flat. A particular star observed from Earth shows a parallax of 0.347 arcseconds. What is its distance from the Earth, in parsecs?

Applications and Investigations in Earth Science (9th Edition)
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ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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**Diagram Explanation: Geometry of Parallax**

In the provided diagram, the geometry of parallax is illustrated. It shows the method used to measure astronomical distances using the parallax angle. The diagram is not to scale horizontally or vertically. 

- **Sun:** Represented at the center.
- **Earth:** Located at 1 Astronomical Unit (AU) from the Sun.
- **Parallax Angle (p):** This is depicted as larger than 1 arcsecond because of scaling differences. In reality, 1 parsec (pc) equals 206,265 AU, which would make the diagram appear very flat if drawn to scale.
- **Distance (d):** The diagram shows distance measured in parsecs (pc), labeled as \( d = 1 \, \text{pc} \).

**Problem Statement:**

A particular star observed from Earth shows a parallax of 0.347 arcseconds. What is its distance from the Earth, in parsecs?

**Answer Box:**

- [User Input] ______ pc
Transcribed Image Text:**Diagram Explanation: Geometry of Parallax** In the provided diagram, the geometry of parallax is illustrated. It shows the method used to measure astronomical distances using the parallax angle. The diagram is not to scale horizontally or vertically. - **Sun:** Represented at the center. - **Earth:** Located at 1 Astronomical Unit (AU) from the Sun. - **Parallax Angle (p):** This is depicted as larger than 1 arcsecond because of scaling differences. In reality, 1 parsec (pc) equals 206,265 AU, which would make the diagram appear very flat if drawn to scale. - **Distance (d):** The diagram shows distance measured in parsecs (pc), labeled as \( d = 1 \, \text{pc} \). **Problem Statement:** A particular star observed from Earth shows a parallax of 0.347 arcseconds. What is its distance from the Earth, in parsecs? **Answer Box:** - [User Input] ______ pc
Expert Solution
Step 1

The distance from the earth is

594,423.6311 parsecs. 

The details solution of given in step 2.

 

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