can you make a graph representation that has the compass directoins, vectors, right triangles and lables

Here is the graphical representation of the problem:

- **Blue Arrow (\(v_b\))**: Represents the boat's velocity relative to the water, heading due east.
- **Red Arrow (\(v_c\))**: Represents the current's velocity, moving southwest.
- **Green Arrow (\(v_a\))**: Represents the actual velocity of the boat relative to the ground.

The dashed lines form a right triangle that illustrates how the boat's eastward movement and the current's southwestward push combine to result in the boat's actual movement. The compass directions help visualize how these vectors interact in the coordinate plane.

Would you like to explore any other details or ask further questions? Here are some related questions to consider:

1. How would changing the boat's speed affect the angle of deviation?
2. What would the graph look like if the current flowed directly south?
3. How does the magnitude of the current affect the boat's path?
4. Can you calculate the displacement after 2 hours of travel?
5. What if the boat needed to head directly east despite the current?

**Tip:** Visualizing vectors and their components on a graph is an excellent way to understand their interactions and resultant effects.

Explore a graphical representation of compass directions, vectors, and right triangles. This illustration demonstrates how these elements interact in a coordinate plane scenario involving boat velocity relative to water and current velocity. Understand the effects on the boat's actual movement and explore related questions.

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