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To solve for the vertical component of Vector C, we will need to decompose the vector into its horizontal (x) and vertical (y) components using trigonometry.

### Given:
- Vector \( C = 95 \, N \)
- Angle \( 87^\circ \) West of North

#### Interpretation of the direction:
- "West of North" means the angle is measured counterclockwise from the North towards the West.
- The angle from the North axis (positive y-axis) is \( 87^\circ \), so the remaining angle from the West axis is \( 90^\circ - 87^\circ = 3^\circ \).

#### Components of the vector:
To find the vertical component (which corresponds to the y-component):
- The vertical component is given by:
  \[
  C_y = C \cdot \cos(\theta)
  \]
  Where \( \theta = 87^\circ \).

Substituting the given values:
\[
C_y = 95 \cdot \cos(87^\circ)
\]

Let me calculate that for you.The vertical component of Vector C is approximately \( 4.972 \). 

Let me know if you would like further details or have any questions!

Here are 5 related questions to expand your understanding:

1. How do you calculate the horizontal component of Vector C?
2. What is the horizontal component of Vector B given its direction?
3. How does the angle affect the components of a vector?
4. Can you find the resultant vector from the combination of vectors A, B, and C?
5. What is the significance of the direction in vector decomposition?

**Tip:** When resolving vectors, always ensure the angle used corresponds to the correct axis reference (e.g., relative to the x-axis or y-axis).

VECTOR ADDITION USING ANALYTICAL METHOD.
VECTOR A = 60N, 245DEGREES FROM +X-AXIS
VECTOR B = 70N, 75DEGREES NORTH OF EAST
VECTOR C = 95N, 87DEGREES W OF NORTH
WHAT IS THE VERTICAL COMPONENT OF VECTOR C? (NOTE: DO NOT INCLUDE THE UNIT AND ANSWERS MUST BE 3 SIG FIGURES)

Learn how to calculate the vertical component of Vector C with a magnitude of 95N and an angle of 87 degrees west of north using the analytical method. This problem involves vector decomposition and basic trigonometric principles, suitable for high school students.

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