If a vector v has a magnitude r and a direction given by an angle θ measured from the positive direction of the X axis, then the vertical component v_y of the vector is given by:
[tex]v_y=r\cdot\sin \theta[/tex]
Substitute r=14.4m and θ=133°:
[tex]v_y=(14.4m)\cdot\sin (133^{\circ})=10.5m[/tex]
Therefore, the value of the y-component of the vector (in meters) is:
[tex]10.5[/tex]
