Answer:
52.5 ft high is the building
Step-by-step explanation:
Proportion states that two ratios or fractions are equal
As per the statement:
In the diagram,
a building casts a 21-ft shadow and a flagpole casts a 6-ft shadow.
If the flagpole is 15 ft tall.
Let x ft be the height of the building.
then by definition we have;
[tex]\frac{\text{Height of the building}}{\text{Shadow of the building}}=\frac{\text{Height of the flagpole}}{\text{Shadow of the flagpole}}[/tex]
[tex]\frac{x}{21} = \frac{15}{6}[/tex]
By cross multiply we have;
[tex]6x = 315[/tex]
Divide both sides by 6 we have;
[tex]x = 52.5[/tex] ft
Therefore, 52.5 ft high is the building
