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a carpenter uses a 12 foot timber to brace a wall frame 8 feet high. if the construction site is level what is the distance the timber will extend out from the wall frame ?

 

 

geometry

 Feb 7, 2019

Best Answer 

 #1
avatar+5797 
+2

\(\text{Assuming the wall is plumb, the timber, the wall, and the ground form a right triangle}\\ \text{Using the pythagorean theorem and recognizing that the brace will be the hypotenuse we have}\\ \ell = \sqrt{12^2-8^2} = \sqrt{144-64} = \sqrt{80}=4\sqrt{5}~ft\)

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 Feb 7, 2019
 #1
avatar+5797 
+2
Best Answer

\(\text{Assuming the wall is plumb, the timber, the wall, and the ground form a right triangle}\\ \text{Using the pythagorean theorem and recognizing that the brace will be the hypotenuse we have}\\ \ell = \sqrt{12^2-8^2} = \sqrt{144-64} = \sqrt{80}=4\sqrt{5}~ft\)

Rom Feb 7, 2019
 #2
avatar+42 
+1

Thank you.

 

yes I'm sure that the Pythagorean theorem was needed.

boominA  Feb 7, 2019
edited by Guest  Feb 7, 2019

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