A hiking girl needs to go 48.4 km straight North to get to base camp, instead the compass confuses her and she travels 28.556 km at a 7.2° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 19.9° deflection West of straight North and then hikes 37.752 km.  What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A hiking girl needs to go 48.4 km straight North to get to base camp, instead the compass confuses her and she travels 28.556 km at a 7.2° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 19.9° deflection West of straight North and then hikes 37.752 km.  What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)

This image is a diagram illustrating navigation paths with the use of vectors. It includes three colored arrows originating from a point labeled "Start" and a cardinal direction compass.

1. **Vectors:**
   - **Red Arrow (Desired Path):** Represents the intended straight path from the start point to the destination. This is labeled as the "Desired path."
   - **Blue Arrow:** Represents the actual path taken, which deviates northeast from the desired path.
   - **Green Arrow:** Illustrates a correctional path that diverts from the actual path to return towards the desired path.

2. **Compass:** A small compass at the top-right corner indicates cardinal directions:
   - N (North) 
   - E (East) 
   - S (South) 
   - W (West)

3. **Input Fields:**
   - At the top left, there are two labeled blank fields: one for "number" and another for "unit."
   
This diagram can be used to explain concepts such as vector addition, path correction in navigation, and deviation from intended routes.
Transcribed Image Text:This image is a diagram illustrating navigation paths with the use of vectors. It includes three colored arrows originating from a point labeled "Start" and a cardinal direction compass. 1. **Vectors:** - **Red Arrow (Desired Path):** Represents the intended straight path from the start point to the destination. This is labeled as the "Desired path." - **Blue Arrow:** Represents the actual path taken, which deviates northeast from the desired path. - **Green Arrow:** Illustrates a correctional path that diverts from the actual path to return towards the desired path. 2. **Compass:** A small compass at the top-right corner indicates cardinal directions: - N (North) - E (East) - S (South) - W (West) 3. **Input Fields:** - At the top left, there are two labeled blank fields: one for "number" and another for "unit." This diagram can be used to explain concepts such as vector addition, path correction in navigation, and deviation from intended routes.
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