Question

Find the x-component of this
vector:

Answer 1

4.978 m

Step-by-step explanation:

`\mathsf v_x` , the x-component of a vector is given by
`\boldsymbol v\cos\theta` where
`\theta` is the angle formed by the vector with the x-axis. The sign of the x-component depends on which quadrant the vector is

Here
`\theta = 77.1`°

`\cost\theta = \cos(77.1) = 0.22325`

The vector has magnitude of 22.3 m

So the x-component = 22.3 x 0.22325 = 4.978 m