Question

Find the measure of x and y:

A) x = 8°, y = 39
B) x = 40°, y = 3
C) x = 8°, y = 119
D) x = 40°, y = -39

Answer 1

To find the components of vectors along the x- and y-axes, use the cosine function for the x-component and the sine function for the y-component. For instance, if vector A has a magnitude of 53.0 m and an angle of 20.0° with the x-axis, its x-component is found by calculating Ax = 53.0 cos(20.0°).

Step-by-step explanation:

The question appears to involve finding the components of vectors along the x- and y-axes, likely in the context of vector addition or physics. The problem provides information about vectors with magnitudes and angles and asks for components or results based on this data. The components along the x-axis (or Ax) are found using the cosine of the angle, usually represented as Ax = A cos θ, where A is the magnitude of the vector and θ is the angle it makes with the x-axis.

Step-by-Step Process

1. Identify the magnitude of the vector and the angle it makes with the x-axis.
2. Use the formula Ax = A cos θ to find the x-component of the vector.
3. Repeat a similar process for the y-component, using the sine function as Ay = A sin θ.

For example, if the magnitude of a vector A is 53.0 m and it makes an angle of 20.0° with the x-axis, its x-component can be calculated using Ax = 53.0 cos(20.0°).