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To find the y-component (\( V_y \)) of the vector, we use the formula:

\[
V_y = |V| \cdot \sin(\theta)
\]

Where:
- \( |V| = 47.3 \, \text{m} \) is the magnitude of the vector.
- \( \theta = 39.4^\circ \) is the angle between the vector and the x-axis.

Substitute the given values into the formula:

\[
V_y = 47.3 \cdot \sin(39.4^\circ)
\]

Let's calculate this.

\[
V_y = 47.3 \cdot 0.6336 = 29.95 \, \text{m}
\]

So, the y-component of the vector is approximately \( V_y = 29.95 \, \text{m} \).

Would you like more details or further clarifications? Here are a few questions you might want to consider:

1. What is the formula for finding the x-component of the vector?
2. How do you calculate vector components if given a different angle?
3. How does the sine function help in finding the y-component of a vector?
4. What happens to the y-component if the angle increases?
5. Can you solve for the magnitude if the x and y components are known?

**Tip**: Always ensure your calculator is set to degrees (°) when dealing with angles in degrees, as opposed to radians.

Find the y-component of this vector with magnitude |V| = 47.3 m and angle θ = 39.4°.

Learn how to find the y-component of a vector using trigonometric functions. This example covers a vector with magnitude |V| = 47.3 m and an angle θ = 39.4°, showcasing how to apply the sine function to resolve vector components.

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