Answer:
[tex]A_y=-36.37^{\circ}[/tex]
Explanation:
Given that,
Vector A points in the -x direction with a magnitude of 21.
Let the x component is making an angle of 60 degrees with negative x axis. The x component of a vector is given by :
[tex]A_x=A\ cos\theta[/tex]
[tex]-21=A\ cos(60)[/tex]
[tex]A=\dfrac{-21}{cos(60)}[/tex]
A = -42 units
The y component of a vector is given by :
[tex]A_y=A\ sin\theta[/tex]
[tex]A_y=-42\ sin(60)[/tex]
[tex]A_y=-36.37^{\circ}[/tex]
So, the y component of vector A is (-36.37) degrees. Hence, this is the required solution.