Answer:
Dx = - 74.82 [m]
Step-by-step explanation:
In order to solve this problem we must decompose the horizontal and vertical axes using the trigonometric functions of the sine and cosine.
For the x component, we must use the cosine of the angle.
Dx = 101*cos(42.2) = 74.82 [m]
Now we must appreciate that the x component is going to the left therefore we have a negative component in the x-direction.
Dx = - 74.82 [m]