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 33 inches. Use a proportion to find the height of the creature.

Answer 1

To find the height of the creature based on the given proportions, we can set up a proportion using the foot lengths and corresponding heights of both individuals.

Let \( H \) represent the height of the creature. We can set up the proportion as follows:

\[ \frac{H}{33 \text{ inches}} = \frac{67 \text{ inches}}{10 \text{ inches}} \]

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

\[ H \cdot 10 = 67 \cdot 33 \]

Calculating \( 67 \cdot 33 \):

\[ 67 \cdot 33 = 2211 \]

Now we have the equation:

\[ 10H = 2211 \]

To solve for \( H \), divide both sides by 10:

\[ H = \frac{2211}{10} = 221.1 \]

Thus, the height of the creature is approximately 221.1 inches.