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need help with geometry problem number 12 ( ignore my writing )

Need Help With Geometry Problem Number 12 Ignore My Writing class=

Sagot :

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

View image CarianaJ464893
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