JonanP375533 JonanP375533
  • 25-10-2022
  • Mathematics
contestada

A 13-feet ladder is placed 5 feet away from a wall. What is the height at which the top of the ladder reaches the wall?

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JemarO358554 JemarO358554
  • 25-10-2022

Draw the situation for a better understanding:

To find the height at which the top of the ladder reaches the wall use pythagorean theorem:

[tex]\begin{gathered} h=\sqrt[]{13^2-5^2} \\ h=\sqrt[]{169-25} \\ h=\sqrt[]{144} \\ h=12 \end{gathered}[/tex]

The height at which the top of the ladder reaches the wall is 12 ft.

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