Final answer:
To solve for x and y, apply trigonometric functions, the concept of slope, and vector component addition as per the context provided in the figure.
Step-by-step explanation:
To solve for variables x and y using the information given in the figure, we would typically apply relevant mathematical procedures such as using the tangent function, calculating slopes, or substituting in equations. For instance, when we are given that tan 0 = y/x, we can find the value of y if we have the values for tan 0 and x, or vice versa. Similarly, to find the slope of a line, we could use the points on a line, represented by (X₂, Y₂) and (X₁, Y₁), and use the formula for slope, which is (Y₂ - Y₁)/(X₂ - X₁).
When it comes to vector addition, identifying Ax, Ay, Bx, and By is crucial, which are the components of vectors A and B along the horizontal (x-axis) and vertical (y-axis). These are calculated using the cosine and sine functions with the respective angles to the x-axis.
In summary, solving for variables typically involves identifying known quantities and applying relevant formulas and mathematical operations to find the unknowns. In the context of the question, this might involve using trigonometric identities, the concept of slope, or performing vector addition.