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To find the distance between Platform B and Platform C, we can use the distance formula. The formula for the distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

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

### Step 1: Identify the Coordinates
From the graph:
- Platform B is located at \( (0, -30) \).
- Platform C is located at \( (10, 20) \).

### Step 2: Substitute into the Distance Formula
Using \((x_1, y_1) = (0, -30)\) and \((x_2, y_2) = (10, 20)\):

\[
d = \sqrt{(10 - 0)^2 + (20 - (-30))^2}
\]

\[
d = \sqrt{(10)^2 + (20 + 30)^2}
\]

\[
d = \sqrt{100 + 2500}
\]

\[
d = \sqrt{2600}
\]

\[
d \approx 51.0 \text{ meters}
\]

### Answer
The distance from Platform B to Platform C is approximately **51.0 meters**, rounded to the nearest tenth.

Would you like more details or have any questions?

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Here are some related questions to explore further:
1. How would you calculate the distance between Platforms C and D?
2. What is the total distance covered from Platform A through all platforms to Platform F?
3. How would you find the midpoint between Platforms B and C?
4. If the zip-line cable slopes between platforms, how could you calculate its angle?
5. How would the distance formula change if this were in three dimensions?

**Tip:** The distance formula is derived from the Pythagorean theorem, making it a valuable tool for finding the shortest path between two points in a plane.

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 find the distance between two points, Platform B and Platform C, using the distance formula. This problem involves identifying coordinates from a graph and applying the Pythagorean theorem. Perfect for students in Grades 9-10.

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