Question

46. Shown above is a scale drawing of a house.On the drawing, the door is 2 inches highand the roof is 5 inches high. On the realhouse, the door is 7. feet high. How high isthe roof of the house?A. 10 feetB. 12.5 feet14 feetD 17.5 feetD

Answer 1

17.5

The concept used is the concept of scale factor

Door height ( real house ) : Door height ( drawing ) = sf

`\begin{gathered} sf=(7)/(2) \\ sf=3.5 \end{gathered}`
`\begin{gathered} sf=(x)/(5) \\ \\ 3.5=(x)/(5) \\ \\ x=5*3.5 \\ \\ x=17.5ft \end{gathered}`

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 ]