Answer:
The height of the building is [tex]1\frac{1}{4}\ feet.[/tex]
Step-by-step explanation:
Given:
Scale drawing is 1/4 inch: 1 foot.
The height of the building in drawing is 5 inches.
Now, to find the actual height of the building.
Let the actual height be [tex]x.[/tex]
The height of the building in drawing = [tex]5\ inches.[/tex]
The ratio of the scale drawing is [tex]\frac{1}{4}\ inch:1\ foot.[/tex]
So, [tex]\frac{1}{4}\ inch[/tex] is equivalent is 1 foot.
Thus, 5 inches is equivalent to [tex]x.[/tex]
Now, to get the actual height of the building by using cross multiplication method:
[tex]\frac{\frac{1}{4}}{1} =\frac{5}{x}[/tex]
[tex]\frac{4}{1} =\frac{5}{x}[/tex]
By cross multiplying we get:
[tex]4x=5[/tex]
Dividing both sides by 4 we get:
[tex]x=\frac{5}{4}[/tex]
[tex]x=1\frac{1}{4}[/tex]
Therefore, the height of the building is [tex]1\frac{1}{4}\ feet.[/tex]
