10. Jan and Jon are hikers. They start at the visitor center and walk in opposite directions for 2 miles. Then Jan turns to her right at an angle of 20°, and Jon turns to his right at an angle of 30°. They each continue hiking for another mile and a half when both stop to rest. Who is farther (as the crow flies) from the visitor center? Jan 1.5 miles 20°. 2 miles 2 miles 30° Visitor center 1.5 miles Jon

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**Problem:** Jan and Jon are hikers who start at the visitor center and walk in opposite directions for 2 miles. Then, Jan turns to her right at an angle of 20°, and Jon turns to his right at an angle of 30°. They each continue hiking for another 1.5 miles before stopping to rest. The question posed is: Who is farther (as the crow flies) from the visitor center?

**Diagram Explanation:**

- **Initial Path:** Both Jan and Jon walk 2 miles in opposite directions from the visitor center. This is indicated by two opposite horizontal arrows extending 2 miles to the left and right of the visitor center.

- **Turning Angles:** 
  - Jan turns 20° to her right (above the horizontal) and continues for 1.5 miles, represented by an arrow extending diagonally upwards to the left.
  - Jon turns 30° to his right (below the horizontal) and continues for 1.5 miles, shown by an arrow extending diagonally downwards to the right.

- **Measurements:**
  - Lines displaying the paths are labeled with respective distances and angles.
  
**Objective:**
Determine which hiker is farther from the visitor center when taking a straight line distance (as the crow flies) into account.
Transcribed Image Text:**Problem:** Jan and Jon are hikers who start at the visitor center and walk in opposite directions for 2 miles. Then, Jan turns to her right at an angle of 20°, and Jon turns to his right at an angle of 30°. They each continue hiking for another 1.5 miles before stopping to rest. The question posed is: Who is farther (as the crow flies) from the visitor center? **Diagram Explanation:** - **Initial Path:** Both Jan and Jon walk 2 miles in opposite directions from the visitor center. This is indicated by two opposite horizontal arrows extending 2 miles to the left and right of the visitor center. - **Turning Angles:** - Jan turns 20° to her right (above the horizontal) and continues for 1.5 miles, represented by an arrow extending diagonally upwards to the left. - Jon turns 30° to his right (below the horizontal) and continues for 1.5 miles, shown by an arrow extending diagonally downwards to the right. - **Measurements:** - Lines displaying the paths are labeled with respective distances and angles. **Objective:** Determine which hiker is farther from the visitor center when taking a straight line distance (as the crow flies) into account.
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