Answer:
142.2 m
Explanation:
The x-component of a certain vector can be found by using
[tex]v_x = v cos \theta[/tex]
where
v is the magnitude of the vector
[tex]\theta[/tex] is the angle between the direction of the vector and the positive x-direction
In this problem, we have
v = 253 m is the length (magnitude) of the vector
[tex]\theta=55.8^{\circ}[/tex] is the angle
Substituting into the formula, we find
[tex]v_x = (253 m) cos 55.8^{\circ}=142.2 m[/tex]