The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft tall. How far from the front of the house is the support post positioned? (picture attached)

Question

anonymous · Answer

attachment

anonymous · Answer

6 ft? 

don't take my answer for it . I didn't do any work.

anonymous · Answer

I want the work so I can understand it though.

anonymous · Answer

smart. good idea

wolf1728 · Answer

This is a tough one (I think)

Triangle A B D and Triangle A1 A D are similar.

I am assuming that triangle A B D and triangle A1 A D are 30 60 90 triangles.

If the support post is 10 feet then BD (the distance to the front) is 
AD times the (1/(square root of 3) or 10 • .5774 = 5.774

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As I said I just guessed that both triangles are 30 60 90 triangles.  
Perhaps the way to prove this is by showing that (AD/BD) and (AD/ A1D) and (A1 A / AB) all equal (2 / Sq root (3)) = 1.155