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Whats the horizontal component of vector C

To find the horizontal component of **Vector C**, we can break it down using trigonometry. Let's analyze the information given:

### Vector C
- **Magnitude** = 95 N
- **Direction** = 87° West of North

This means that the angle measured counterclockwise from the positive x-axis is \( 90° + 87° = 177° \).

### Calculating the horizontal component:
The horizontal component of a vector is found using:

\[
C_x = C \cdot \cos(\theta)
\]

Where:
- \( C = 95 \, \text{N} \) (magnitude of vector C)
- \( \theta = 177^\circ \) (angle from the positive x-axis)

Let's calculate the horizontal component now.The horizontal component of **Vector C** is approximately **-94.87** (rounded to three significant figures). The negative sign indicates that the horizontal component points in the negative x-direction (westward).

Do you need further details or have any other questions?

Here are 5 related questions to expand your understanding:
1. How is the vertical component of Vector C calculated?
2. What is the resultant vector when combining Vectors A, B, and C?
3. How does the angle “west of north” relate to standard angle measurements in physics?
4. How can you use the Pythagorean theorem to check the components of a vector?
5. What is the significance of positive vs. negative signs in vector components?

**Tip:** Always check if angles are given in standard positions (measured from the positive x-axis) when working with vector components.

What is the horizontal component of vector C?

Learn how to calculate the horizontal component of Vector C using trigonometry. With a magnitude of 95 N and an angle of 87° west of north, break down the vector into its components using the formula C_x = C * cos(θ). Ideal for Grades 10-12.

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