Answer:
[tex]31.7\:\mathrm{N}[/tex]
Explanation:
We can use basic trig in a right triangle to solve this problem. Let the x component of the force be [tex]x[/tex]. We have the following equation:
[tex]\cos 24^{\circ}=\frac{x}{34.7},\\x=34.7\cos 24^{\circ}\approx \boxed{31.7}[/tex]