To find the x component of the given vector we can use the following equation:
![x=h\cdot cos\theta](https://img.qammunity.org/2023/formulas/mathematics/college/gg60ngfmqiec6ra3zgwtc0xgjr4ndomsev.png)
Where x is the x component, h is the magnitude of the vector and θ is the angle or direction.
Replace for the known values to find x:
![\begin{gathered} x=17.5lb\cdot cos(57.1) \\ x=14.91lb \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3mx9ah6dqvgl0ky4l832jd5oswkb6wkomu.png)
The x component is 14.91 lb.
To find the y component we have to follow a similar procedure, but this time, using the following equation:
![\begin{gathered} y=h\cdot sin\theta \\ y=17.5lb\cdot sin(57.1) \\ y=9.17lb \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/r2wi90wmbpml1getk6carvk7yp9a2cu2or.png)
The y component is 9.17 lb.