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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 ne…

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 ne…
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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

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User Shahbaz Ahmed
by
7.9k points

1 Answer

5 votes

Let's use cosine function to find the distance between the wall and the bottom of the ladder:


\begin{gathered} \cos (\theta)=(adjacent)/(hypotenuse) \\ \cos (57)=(x)/(510) \\ solve_{\text{ }}for_{\text{ }}x\colon \\ x=510\cdot\cos (57) \\ x=277.8\operatorname{cm} \end{gathered}

A ladder, 510 cm long, leans against a building. If the angle between the ground and-example-1
answered
User IWizard
by
7.9k points
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