To find the x-component $V_x$ of the given vector, we use the formula:

$V_x = |V| \cdot \cos(\theta)$

Where:

• $|V| = 47.3 \, \text{m}$ (magnitude of the vector)
• $\theta = 39.4^\circ$ (angle with the horizontal axis)

Now we calculate:

$V_x = 47.3 \cdot \cos(39.4^\circ)$

Using a calculator:

$V_x = 47.3 \cdot 0.774$

$V_x \approx 36.63 \, \text{m}$

So, the x-component $V_x \approx 36.63 \, \text{m}$.

Would you like more details or explanations on any part of this?

Here are 5 related questions:

1. How would you find the y-component of the vector?
2. What happens to the x-component if the angle increases?
3. How does the cosine function relate to vector components?
4. What is the maximum possible value for the x-component?
5. How do trigonometric functions help in resolving vector components?

Tip: Always make sure your calculator is set to degrees when calculating trigonometric functions involving angles in degrees!