Q. 134.3( 13 Votes )

A vertical pole o

Answer :

We have


Let the two triangles be ∆ABC and ∆PQR.


Given that, AB = 7.5 cm


BC = 5 m = 500 cm


QR = 24 m = 2400 cm


We have to find PQ = x (say).


We need to prove ∆ABC is similar to ∆PQR.


We can observe that,


ABC = PQR = 90°


ACB = PRQ [ the sum castes same angle at all places at the same time]


Thus, by AA-similarity criteria, we can say


∆ABC ∆PQR


So,



Substitute the given values in this equation,




x = 36 cm


Thus, height of the tower is 36 cm.


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