We have to calculate the actual height of the skyscrapper.
We know that the scale is such that 2 inches in the model represent 50 ft in the real world.
Then, we can write the scale as:
[tex]k=\frac{M}{A}=\frac{2\text{ in}}{50\text{ ft}}[/tex]If the model is 22 ft tall, we can find the actual height X as:
[tex]\begin{gathered} k=\frac{M}{A}=\frac{2\text{ in}}{50\text{ ft}}=\frac{22\text{ in}}{X} \\ \frac{2\text{ in}}{50\text{ ft}}=\frac{22\text{ in}}{X} \\ \frac{50\text{ ft}}{2\text{ in}}=\frac{X}{22\text{ in}} \\ X=\frac{22\text{ in}}{2\text{ in}}\cdot50ft \\ X=11\cdot50ft \\ X=550\text{ ft} \end{gathered}[/tex]Answer: the height of the actual skyscraper is 550 ft.
If we have to construct a table for this problem, we can write:
| Scale | Measurement
Model | 2 in | 50 ft
Skyscrapper | 22 in | 550 ft
were the rows are proportional: 22 in / 2 in = 550 ft / 50 ft