Let's use cosine function to find the distance between the wall and the bottom of the ladder:
[tex]\begin{gathered} \cos (\theta)=\frac{adjacent}{hypotenuse} \\ \cos (57)=\frac{x}{510} \\ solve_{\text{ }}for_{\text{ }}x\colon \\ x=510\cdot\cos (57) \\ x=277.8\operatorname{cm} \end{gathered}[/tex]
