If a vector v has a magnitude r and a direction given by an angle θ measured from the positive direction of the X axis, then the vertical component v_y of the vector is given by:
![v_y=r\cdot\sin \theta](https://img.qammunity.org/2023/formulas/physics/college/e1lenvnrv5x4mmhljt9733pfgbfpfx4avp.png)
Substitute r=14.4m and θ=133°:
![v_y=(14.4m)\cdot\sin (133^(\circ))=10.5m](https://img.qammunity.org/2023/formulas/physics/college/iv61h9qzyfzfywmzbl2l7yd5t2c8xe314h.png)
Therefore, the value of the y-component of the vector (in meters) is:
![10.5](https://img.qammunity.org/2023/formulas/physics/college/2xfnskw82twfvhwd0p9imyl7ick3pm9mv9.png)