To find the vertical component of a vector, we can use the sine function. Here's how we calculate it for the given vector:

Formula:

$F_y = F \cdot \sin(\theta)$

Where:

• $F_y$ is the vertical component (which we are trying to find),
• $F$ is the magnitude of the vector (60 N in this case),
• $\theta$ is the angle from the positive X-axis (245 degrees).

Calculation:

Since the angle is measured counterclockwise from the positive X-axis, we can directly use 245 degrees for the calculation.

$F_y = 60 \cdot \sin(245^\circ)$

Let me calculate that for you.The vertical component of the vector is approximately $-54.38 \, \text{N}$. The negative sign indicates that the component is directed downwards.

Would you like more details or further clarification on this? Here are five related questions to consider:

1. How do you find the horizontal component of a vector?
2. What does the negative sign of a vector component signify?
3. How do you convert between polar and rectangular coordinates for vectors?
4. What are the applications of vector components in physics?
5. How does the angle of a vector affect its vertical and horizontal components?

Tip: When calculating components of a vector, always ensure your angle is referenced from the positive X-axis and in the correct quadrant.