The image appears to depict a force analysis or vector resolution problem, where the angle and forces (or components) are involved. Here's a step-by-step explanation of the image:

Key Observations:

1. The given angle is 105° (between the two intersecting lines).
2. A force (or vector) X is shown being decomposed or resolved into components.
3. One part involves a vertical component, and the other involves a horizontal component.
4. The vector or force X has been broken into its components using trigonometric relationships.

Steps to Resolve the Components:

To calculate the value of $\hat{X}$ (X's resolved components):

• The horizontal component of $X$ can be found using: $X_{\text{horizontal}} = X \cdot \cos(\theta)$

• The vertical component of $X$ can be found using: $X_{\text{vertical}} = X \cdot \sin(\theta)$

Where:

• $X$ is the magnitude of the force/vector.
• $\theta$ is the angle relative to the reference axis.

Missing Information:

1. The image lacks the numerical value of X (the magnitude of the vector).
2. $\hat{X}$ seems to be asking for the resolved horizontal or vertical components, depending on the problem setup.

Do you have more information about:

1. The exact value of X?
2. Which component (horizontal or vertical) the problem is asking for?

Let me know so I can provide the exact solution!

Related Questions:

1. How do you resolve a vector into components using trigonometric functions?
2. What is the sine and cosine of 105°?
3. How can you verify vector components graphically and mathematically?
4. If X = 50 N, what are its horizontal and vertical components at 105°?
5. How do you calculate resultant forces from components?

Tip: Use a scientific calculator to determine trigonometric values for non-standard angles like 105°.