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 …

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asked Jul 11, 2023 159k views

1 Answer

Hshepherd · Answer 1 · 2023-07-17T05:00:03+0000

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 ]