Question

Joshua used two wood beams, PC and QA, to support the roof of a model house.

Answer 1

Based on your question where as the ask of the problem is to get the distance between the end points of the beams P and Q base on the picture below and according to my calculation and step by step procedure i came up with an answer of D. 3.6 inches

Answer 2

Answer:

$\boxed{\boxed{PQ=3.6\ in}}$

Step-by-step explanation:

As it is given as ΔQRP and ΔARC are similar, so the ratio of their corresponding sides will be same.

So,

$\dfrac{RC}{PR}=\dfrac{AC}{PQ}$

It is given as,

RC  = 3.3

PR = 1.8

AC = 6.6

PQ = ??

Putting the values,

$\Rightarrow \dfrac{3.3}{1.8}=\dfrac{6.6}{PQ}$

$\Rightarrow PQ=\dfrac{6.6\times 1.8}{3.3}=3.6$