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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
**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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Ratios
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning