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The question asks to determine the vertical component of **Vector C**. Here's how we can approach this:

### Information provided for Vector C:
- Magnitude of **Vector C**: \( 95 \, \text{N} \)
- Direction of **Vector C**: \( 87^\circ \, \text{W of North} \)

### Step-by-Step Solution:
1. **Understand the angle**:
   - "West of North" means the vector is directed slightly westward from the north.
   - So, \( 87^\circ \) west of north means the angle is measured clockwise from the north axis.

2. **Vertical component**:
   - The vertical component corresponds to the projection along the north-south axis.
   - The vertical component is given by \( V_y = \text{Magnitude} \times \cos(\theta) \), where \( \theta = 87^\circ \) because the vertical component is along the axis from which the angle is measured (north in this case).

3. **Calculation**:
   \[
   V_y = 95 \times \cos(87^\circ)
   \]
   
Let me calculate that for you.The vertical component of **Vector C** is approximately \( 4.97 \, \text{N} \).

Do you need further details or explanations? Here are some additional questions that expand on the topic:

1. How do we calculate the horizontal component of a vector?
2. What is the difference between using sine and cosine when finding vector components?
3. How would you find the resultant vector when adding two or more vectors analytically?
4. Can we use the same approach for 3D vectors? How would it differ?
5. Why is the angle's reference important when breaking down vector components?

**Tip:** Always ensure to correctly interpret the reference direction for angles, as it directly affects the calculation of vector components.

What is the vertical component of Vector C? Vector C = 95N, 87 degrees West of North.

Learn how to calculate the vertical component of a vector with a magnitude of 95N and an angle of 87 degrees west of north using basic trigonometric formulas. This problem is suitable for students in Grades 10-12.

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