- x-component: 18.55;
- y-component: 29.68.
Explanation
Consider the vector as the hypotenuse of a right triangle. Refer to the diagram attached. The x and y components are the two legs.
The x-component is adjacent to the 58° angle.
[tex]x\text{-component} = \text{Hypotenuse} \cdot \cos{\text{Angle} = 35 \times \cos(58\textdegree{}}) = 18.55[/tex].
The y-component is opposite to the 58° angle.
[tex]y\text{-component} = \text{Hypotenuse} \cdot \sin{\text{Angle} = 35 \times \sin(58\textdegree{}}) = 29.68[/tex].