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A ladder, 510 cm long, leans against a building. If the angle between the ground and the ladder is 57 degrees, how far from the wall is the bottom of the ladder? Round to the nearest tenth

Sagot :

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]

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