We can use a proportion to solve this problem.
Proportions are set up as ratios that are equivalent to each other. For instance, if you were to set up the following ratio:
[tex]\frac{1}{2}=\frac{2}{4}[/tex]We know that this is true. We can also apply algebraic examples.
[tex]\frac{1}{2.5}=\frac{20}{x}[/tex]We can solve for x (the measurement for how tall the building will be) using cross-multiplication and simplification.
Let's cross-multiply the fractions.
[tex]1x=50[/tex]Then, we divide both sides by 1 to get x by itself.
[tex]\frac{1x}{1}=\frac{50}{1}[/tex]This leaves us with x = 50, which means that the building will be 50 feet tall.