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To find the distance between Platform B and Platform C on the zip-line course, we need to calculate the Euclidean distance between the two points. From the grid, we can extract the coordinates for Platforms B and C.

- Platform B is located at coordinates (-40, -40).
- Platform C is located at coordinates (10, -20).

The formula for the Euclidean distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Let's plug in the values for B and C:

\[
d = \sqrt{(10 - (-40))^2 + (-20 - (-40))^2}
\]

I'll calculate the result next.The distance from Platform B to Platform C is approximately **53.9 meters**.

Do you want more details or have any other questions?

Here are 5 related questions that build on this concept:
1. How do you find the total distance if you travel through multiple points on the course?
2. What is the shortest path from Platform A to Platform F?
3. Can you calculate the slope between any two platforms?
4. How do the coordinates of points affect the overall path distance?
5. What is the difference between Euclidean distance and Manhattan distance?

**Tip**: Always double-check your coordinates before calculating distances on a grid!

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?

This problem teaches you how to calculate the distance between two platforms, B and C, using the distance formula in coordinate geometry. With coordinates (-40, -40) for Platform B and (10, -20) for Platform C, this exercise involves key geometry concepts suitable for students in Grades 8-10.

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