Answer :
Explanation:
Given that,
The x component of the vector R, [tex]R_x=-23.2\ units[/tex]
The y component of the vector R, [tex]R_y=21.4\ units[/tex]
We need to find the direction of the vector R. Let [tex]\theta[/tex] shows te direction of R such that,
[tex]tan\theta=\dfrac{R_y}{R_x}[/tex]
[tex]tan\theta=\dfrac{-21.4}{23.2}[/tex]
[tex]\theta=-42.67^{\circ}[/tex]
Here, minus sign shows that [tex]\theta[/tex] is taken in clockwise direction.
For anticlockwise direction, [tex]\theta=180-42.67=137.33^{\circ}[/tex]
So, the vector R makes an angle of [tex]137.33^{\circ}[/tex] with x direction. Hence, this is the required solution.