Height of the flagpole is 21 feet.
Similar triangles:
- If two triangles are similar, sides of these triangles will be proportional.
Given in the question,
- Height of the flagpole (AB) = h feet
- Shadow castes by the flagpole (BC) = 28 feet
- Height of the person (A'B') = 6 feet
- Shadow casted by the person(B'C) = 8 feet
By using the property of similar triangles,
ΔABC and ΔA'B'C are the similar triangles.
Hence, [tex]\frac{AB}{BC}= \frac{A'B'}{B'C}[/tex]
[tex]\frac{h}{6}=\frac{28}{8}[/tex]
[tex]h=\frac{28\times 6}{8}[/tex]
[tex]h=21[/tex] feet
Therefore, height of the flagpole is 21 feet.
Learn more, about the similarity of triangles here,
https://brainly.com/question/3180129?referrer=searchResults
