https://file.aiquickdraw.com/mathbot/file/17272991696413q4pnxkg.png

The pirate's displacement is the resultant vector from his movements east and north. To calculate the magnitude of this displacement, we can use the Pythagorean theorem because the east and north movements form a right-angled triangle.

Given:
- Eastward movement \( x = 39 \, \text{m} \)
- Northward movement \( y = 80 \, \text{m} \)

The resultant displacement \( d \) is the hypotenuse of the right-angled triangle, which can be found using the formula:

\[
d = \sqrt{x^2 + y^2}
\]

Now, let's calculate this.The magnitude of the pirate's resultant displacement is 89 meters. 

So, the correct answer is **A. 89 m**.

Do you have any further questions or need more details?

Here are 5 related questions to expand on this topic:
1. How would the displacement change if the pirate walked 50 meters east and 100 meters north?
2. What is the direction of the displacement relative to the eastward direction?
3. How is the resultant displacement affected if the pirate walked south instead of north?
4. Can you explain how to find the angle of displacement using trigonometry?
5. What is the difference between distance traveled and displacement in this context?

**Tip**: The Pythagorean theorem is very useful for finding the resultant of two perpendicular vectors!

A pirate is trying to find his treasure based on a map he drew. He walks 39 m east and 80 m north. What is the magnitude of his resultant displacement?

Learn how to calculate the resultant displacement of a pirate walking 39 m east and 80 m north using the Pythagorean theorem. This detailed step-by-step guide is perfect for students in Grades 7-9 and covers key geometry and vector concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation