**Text for Educational Website:** --- **Treasure Hunt and Vector Addition** *Scenario:* You found a treasure map, and it said: Start at the well, go 100 meters straight south, then 30 meters, 40° north of west. Then 25 meters straight east, 10 meters south, 20 meters west, and finally 10 meters, 75° south of east. Using the polygon and component methods of vector addition, how far from the well and in what direction is the hidden treasure? What is your total distance traveled in kilometers? Use the scale: 2 cm = 1 m. --- **Methods:** **a. Polygon Method** - *Accuracy of vector (with label)* - *Resultant vector* **b. Component Method** - *Vector diagram in one Cartesian plane* - *Resolution of vector (tabulate)* - *Resultant vector* - *Directional angle* - *Quadrant direction* - *Final answer (express magnitude (distance) in miles unit. Show conversion of units)* **c. Total Distance in Kilometers** - *Show conversion of units* --- *Explanation:* This activity involves determining the location and distance of hidden treasure using two methods of vector addition—polygon and component. Each method involves carefully calculating the resultant vectors and their directions based on the given map instructions. Use the scale provided to convert measurements accurately. The challenge also includes expressing the total distance in kilometers and converting it into miles.
**Text for Educational Website:** --- **Treasure Hunt and Vector Addition** *Scenario:* You found a treasure map, and it said: Start at the well, go 100 meters straight south, then 30 meters, 40° north of west. Then 25 meters straight east, 10 meters south, 20 meters west, and finally 10 meters, 75° south of east. Using the polygon and component methods of vector addition, how far from the well and in what direction is the hidden treasure? What is your total distance traveled in kilometers? Use the scale: 2 cm = 1 m. --- **Methods:** **a. Polygon Method** - *Accuracy of vector (with label)* - *Resultant vector* **b. Component Method** - *Vector diagram in one Cartesian plane* - *Resolution of vector (tabulate)* - *Resultant vector* - *Directional angle* - *Quadrant direction* - *Final answer (express magnitude (distance) in miles unit. Show conversion of units)* **c. Total Distance in Kilometers** - *Show conversion of units* --- *Explanation:* This activity involves determining the location and distance of hidden treasure using two methods of vector addition—polygon and component. Each method involves carefully calculating the resultant vectors and their directions based on the given map instructions. Use the scale provided to convert measurements accurately. The challenge also includes expressing the total distance in kilometers and converting it into miles.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Transcribed Image Text:**Text for Educational Website:**
---
**Treasure Hunt and Vector Addition**
*Scenario:*
You found a treasure map, and it said: Start at the well, go 100 meters straight south, then 30 meters, 40° north of west. Then 25 meters straight east, 10 meters south, 20 meters west, and finally 10 meters, 75° south of east. Using the polygon and component methods of vector addition, how far from the well and in what direction is the hidden treasure? What is your total distance traveled in kilometers? Use the scale: 2 cm = 1 m.
---
**Methods:**
**a. Polygon Method**
- *Accuracy of vector (with label)*
- *Resultant vector*
**b. Component Method**
- *Vector diagram in one Cartesian plane*
- *Resolution of vector (tabulate)*
- *Resultant vector*
- *Directional angle*
- *Quadrant direction*
- *Final answer (express magnitude (distance) in miles unit. Show conversion of units)*
**c. Total Distance in Kilometers**
- *Show conversion of units*
---
*Explanation:*
This activity involves determining the location and distance of hidden treasure using two methods of vector addition—polygon and component. Each method involves carefully calculating the resultant vectors and their directions based on the given map instructions. Use the scale provided to convert measurements accurately. The challenge also includes expressing the total distance in kilometers and converting it into miles.
Expert Solution
draw the diagram
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