Respuesta :

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.

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