Find the x-component of this
vector:

Answer:
4.978 m
Explanation:
[tex]\mathsf v_x[/tex] , the x-component of a vector is given by [tex]\boldsymbol v\cos\theta[/tex] where [tex]\theta[/tex] 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 [tex]\theta = 77.1[/tex]°
[tex]\cost\theta = \cos(77.1) = 0.22325[/tex]
The vector has magnitude of 22.3 m
So the x-component = 22.3 x 0.22325 = 4.978 m