Answer:
[tex]a_x=34.64\ m.[/tex]
Explanation:
Rectangular components of a vector
Given a vector [tex]\vec a[/tex], the x-component and y-component of the vector are given respectively by:
[tex]a_x=|\vec a|.\cos\theta[/tex]
[tex]a_y=|\vec a|.\sin\theta[/tex]
Where [tex]\theta[/tex] is the angle measured with respect to the positive horizontal direction.
Let's calculate the horizontal component of a vector with magnitude 40 m and angle 330°
[tex]a_x=40\ m.\cos330^\circ[/tex]
[tex]\boxed{a_x=34.64\ m.}[/tex]
