SavvyL666027 SavvyL666027
  • 25-10-2022
  • Mathematics
contestada

how do I find : how far from the base of his house should he place the ladder?

how do I find how far from the base of his house should he place the ladder class=

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GabrianaE272068 GabrianaE272068
  • 25-10-2022

Answer:

B. 12 ft

Explanation:

We can see from the image that a right-angled triangle is formed by the ladder, the side of the house, and the ground.

We can use the Pythagorean Theorem to determine how far from the base of his house he should place the ladder as shown below;

[tex]\begin{gathered} 20^2=x^2+16^2 \\ 400=x^2+256 \\ 400-256=x^2 \\ 144=x^2 \\ \sqrt[]{144}=x \\ 12=x \\ x=12ft \end{gathered}[/tex]

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