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
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
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question

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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