Question

Given a line segment XY with a known magnitude of 22 units and an angle of 41 degrees between the segment and the horizontal axis. To solve for the length of XY, which equation would be used?

A) XY = 22 × sin (41∘)
B) XY = 22 × cos(41∘)
C) XY = 22 × sin (410∘)
D) XY = 22 × cos (410∘)
E) XY=22

Answer 1

The length of the line segment XY with a magnitude of 22 units is already given, so the correct answer is XY=22 units, corresponding to option E.

Step-by-step explanation:

The question involves solving for the length of a line segment given its magnitude and its angle with the horizontal axis. The correct approach is to find the horizontal or vertical component of the vector, depending on what is required. Given that the angle is with the horizontal, if we are solving for the horizontal component, we would use the cosine function. For the vertical component, we would use the sine function.

As such, the length of XY is already provided as 22 units, which signifies the magnitude of the vector. Thus, the correct equation, if we were to solve for a component, would be based on the cosine or sine function. However, since the question asks for the length, which is already provided, the correct answer would be:

XY=22 units, which corresponds to option E).