Answer:
dx = - 0.0789[m]
Step-by-step explanation:
In order to solve this problem, we must remember that the vertical component of a vector can be determined using the opposite catheter of the right triangle, by means of the sine function.
![d_(x)=0.250*sin(18.4)\\d_(x) = 0.0789 [m]](https://img.qammunity.org/2021/formulas/physics/high-school/grnkca7vlgfsq3867m3hi7cqzj5b7hfrf7.png)
Since the component is directed down, the sign is negative.
dx = - 0.0789[m]