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hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her and she travels 17.248 km at a 3.9° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 17.8° deflection West of straight North and then hikes 30.576 km.  What is the magnitude of her displacement from where she is now located to base camp.

hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her and she travels 17.248 km at a 3.9° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 17.8° deflection West of straight North and then hikes 30.576 km.  What is the magnitude of her displacement from where she is now located to base camp.

College Physics
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 39.2 km straight North to get to base camp, instead the compass confuses her and she travels 17.248 km at a 3.9° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 17.8° deflection West of straight North and then hikes 30.576 km.  What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)

### Navigating Pathways with Vector Diagrams **Diagram Description:** The image showcases a vector diagram illustrating different navigation paths: 1. **Vectors and Pathway Description:** - **Start Point:** Indicated by a black dot labeled "Start." - **Desired Path:** Represented by a vertical red arrow pointing upwards directly from the start to the end point. This depicts the ideal straight-line path to the target. - **Actual Path:** Illustrated by a blue arrow veering to the left, showing a deviation from the desired path. - **Corrective Path:** Represented by a green arrow that redirects back from the start towards the desired endpoint, correcting the deviation. - **End Point:** Concluded with a black dot at the intersection of the desired path and the blue path. 2. **Directional Guide:** - A compass rose on the right features cardinal directions: North (N) pointing upwards, South (S), East (E), and West (W), helping to orient the movement of the vectors. 3. **Measurement Inputs:** - Two input fields labeled "number" and "unit," suggesting spaces for inputting the magnitude of vectors or distance measurements. This diagram serves as an educational tool for understanding navigation and correction of paths using vector representation, emphasizing the importance of maintaining a desired trajectory while illustrating common deviations and necessary adjustments.
Transcribed Image Text:### Navigating Pathways with Vector Diagrams **Diagram Description:** The image showcases a vector diagram illustrating different navigation paths: 1. **Vectors and Pathway Description:** - **Start Point:** Indicated by a black dot labeled "Start." - **Desired Path:** Represented by a vertical red arrow pointing upwards directly from the start to the end point. This depicts the ideal straight-line path to the target. - **Actual Path:** Illustrated by a blue arrow veering to the left, showing a deviation from the desired path. - **Corrective Path:** Represented by a green arrow that redirects back from the start towards the desired endpoint, correcting the deviation. - **End Point:** Concluded with a black dot at the intersection of the desired path and the blue path. 2. **Directional Guide:** - A compass rose on the right features cardinal directions: North (N) pointing upwards, South (S), East (E), and West (W), helping to orient the movement of the vectors. 3. **Measurement Inputs:** - Two input fields labeled "number" and "unit," suggesting spaces for inputting the magnitude of vectors or distance measurements. This diagram serves as an educational tool for understanding navigation and correction of paths using vector representation, emphasizing the importance of maintaining a desired trajectory while illustrating common deviations and necessary adjustments.
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