Nina plans to utilize the storage space and make shelves. She wants to fix a wood beam, represented by segment RX in the figure, to support a shelf.

What is the length of the beam? Show all the steps you used to find your answer.

Question

Nina plans to utilize the storage space and make shelves. She wants to fix a wood beam, represented by segment RX in the figure, to support a shelf. 
  
What is the length of the beam? Show all the steps you used to find your answer.

anonymous · Answer

attachment

anonymous · Answer

Somebody please help?

anonymous · Answer

if i am not mistaken we can do this with similar triangles

anonymous · Answer

$$\frac{3.6}{\vec{RQ}}=\frac{\vec{RQ}}{10}$$  os $\vec{RQ}^2=36$ and therefore $\vec{RQ}=6$

anonymous · Answer

then by pythagoras the length of the beam is 
$$\sqrt{6^2-3.6^2}=4.8$$

anonymous · Answer

Hey I got it right! Thanks.