Given,
The length of the vector, A=27.6 m
The angle made by the vector in the counterclockwise direction from the y-axis, θ=-60.0°
The negative sign indicates that the angle is in the counterclockwise direction. The angles made in the clockwise direction is represented with the positive sign.
The y-component of the given vector is calculated as,
[tex]A_y=A\cos \theta[/tex]
On substituting the known values,
[tex]\begin{gathered} A_y=27.6\times\cos (-60.0) \\ =13.8\text{ m} \end{gathered}[/tex]
Thus the y-component of the given vector is 13.8 m
