Question

Height is proportional to foot length. A person whose foot length is 10 inches is 67 inches tall. A​ human-like creature has a foot length of 29 inches. Use a proportion to find the height of the creature.

Answer 1

To find the height of the human-like creature using the proportionality between height and foot length, we can set up a proportion based on the given information.

We know the following:

- A person's foot length is 10 inches and their height is 67 inches.
- The creature's foot length is 29 inches, and we want to find its height (let's call it \( h \)).

We can set up the proportion as follows:

\[
\frac{\text{Height of person}}{\text{Foot length of person}} = \frac{\text{Height of creature}}{\text{Foot length of creature}}
\]

Substituting in the known values:

\[
\frac{67 \text{ inches}}{10 \text{ inches}} = \frac{h}{29 \text{ inches}}
\]

Now we can cross-multiply to solve for \( h \):

\[
67 \text{ inches} \cdot 29 \text{ inches} = 10 \text{ inches} \cdot h
\]

Calculating the left side:

\[
67 \cdot 29 = 1943
\]

So, we have:

\[
1943 = 10h
\]

Now, divide both sides by 10 to isolate \( h \):

\[
h = \frac{1943}{10} = 194.3 \text{ inches}
\]

Thus, the height of the creature is approximately **194.3 inches**.