Question

1. the scale factor of a house in the drawing to the original house is 2 in : 5 ft. find the height of the original house. scale: 2 in to 5 ft. scale drawing 8.5 in

Explanation:

Step1: Set up proportion

Let $x$ be the height of the original house. The scale is 2 in : 5 ft, and the height in the drawing is 8.5 in. So the proportion is $\frac{2}{5}=\frac{8.5}{x}$.

Step2: Cross - multiply

$2x = 8.5\times5$.

Step3: Calculate the right - hand side

$8.5\times5 = 42.5$, so $2x=42.5$.

Step4: Solve for $x$

$x=\frac{42.5}{2}=21.25$ ft.

Answer:

21.25 ft