https://file.aiquickdraw.com/mathbot/file/1725502782243pdetf1hn.jpg

In this image, you are asked to calculate the distance traveled along a zip-line course between platforms, based on a graph. The graph shows a series of platforms labeled and connected by red lines, representing different segments of the zip-line.

The key points in the problem are:
1. You start at Platform A, which seems to be at coordinates \((-10, 0)\).
2. You zip through several platforms and are asked to calculate the distance from Platform B to Platform C.

### Steps to solve:

1. **Identify coordinates of platforms B and C:**
   - Based on the graph, Platform B appears to be at \((4, -6)\).
   - Platform C appears to be at \((14, 2)\).

2. **Use the distance formula** between two points in the coordinate plane:
   \[
   d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
   \]
   where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Now, I will compute the distance from Platform B to Platform C using the coordinates \((4, -6)\) and \((14, 2)\).The distance from Platform B \((4, -6)\) to Platform C \((14, 2)\) is approximately 12.81 units.

Would you like more details or have any questions? 

Here are some related questions:
1. How would you calculate the total distance traveled from Platform A to Platform C?
2. Can you apply the distance formula for other segments of the course?
3. How does the concept of Pythagoras' Theorem relate to this problem?
4. What other ways can the graph be used to interpret information beyond just distances?
5. How might you calculate the slope between two platforms on this zip-line course?

**Tip:** When working with distances in a coordinate plane, always ensure that you accurately read the coordinates to avoid errors in calculation!

On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at platform A and zip to each of the other platforms. How far do you travel from Platform B to Platform C?

Learn how to calculate the distance between two platforms (B and C) on a zip-line course using the distance formula in a coordinate plane. This problem involves key geometry concepts and the Pythagorean Theorem, suitable for students in Grades 6-8.

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