Respuesta :
Answer:
The model is 6 inches tall.
Step-by-step explanation:
Write and solve an equation of ratios:
10 in. x
--------- = ----------
40 ft. 24 ft.
Cross-multiplication yields:
240 in = 40x, so x = 6 inches.
The model is 6 inches tall.
The scale model is 6 inches.
Important information:
- A building is 24 feet tall and 40 feet wide.
- The scale model of this building is 10 inches wide.
Scale model:
Let the scale model is [tex]x[/tex] inches tall.
The height and width of the building and the scale model are proportional.
[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]
[tex]x=\dfrac{24}{40}\times 10[/tex]
[tex]x=6[/tex]
Therefore, the scale model is 6 inches.
Find out more about 'Scale model' here:
https://brainly.com/question/1664216