17.5
The concept used is the concept of scale factor
Door height ( real house ) : Door height ( drawing ) = sf
[tex]\begin{gathered} sf=\frac{7}{2} \\ sf=3.5 \end{gathered}[/tex][tex]\begin{gathered} sf=\frac{x}{5} \\ \\ 3.5=\frac{x}{5} \\ \\ x=5\times3.5 \\ \\ x=17.5ft \end{gathered}[/tex]Note ; x is the height of the roof on the real house
sf = Scale factor
We compared to corresponding lenghts on the drawing and on the real house to obtain the answer.
The final answer is 17.5 [ OPTION D ]
