Given
Height of man = 6ft
Shadow of man = 9ft
Shadsw of building = 322.5ft
Find
Height of building
Explanation
At a particular time in the day the proportion of the shadow of man will be equal to that of the building
So triangle ABC will be similar to PQR
Hence the ratio of their corresponding sides will be equal
[tex]\begin{gathered} \frac{AB}{BC}=\frac{PQ}{QR} \\ \frac{6}{9}=\frac{PQ}{322.5} \\ PQ=322.5\times\frac{2}{3} \end{gathered}[/tex]
Therefore,
PQ = 215ft
which is the required length
Final Answer
The height of the building is 215ft
