Question

Ben made a scale model of the Alamo. The Alamo has an actual height of 30 feet. Ben's model used a scale in which 1 inch represents 10 feet. Which is the height in inches of Ben's model?

Answer 1

Answer:

The height of Ben's model is;

$3\text{ inch}$

Explanation:

Given that;

Ben's model used a scale in which 1 inch represents 10 feet

$1\text{ inch : 10 feet }$

If the Alamo has an actual height of 30 feet.

$H=30\text{ feet}$

The height of Ben's model will be the actual height mutiplied by the ratio in fraction;

$\begin{gathered} h=\frac{1\text{ inch}}{\text{10 feet}}\times H \\ h=\frac{1\text{ inch}}{\text{10 feet}}\times30\text{ feet} \\ h=1\text{ inch }\times\frac{30\text{ feet}}{10\text{ feet}} \\ h=1\text{ inch}\times3 \\ h=3\text{ inch} \end{gathered}$

Therefore, the height of Ben's model is;

$3\text{ inch}$