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Q.

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.


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a

48m

b

32m

c

55m

d

42m 

answer is D.

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Detailed Solution

Height of pole=AB=6 m
Length of shadow of pole =BC=4 m
Length of shadow of tower=EF=28 m
In △ABC and △DEF
∠B=∠E=90∘ ∠C=∠F [∵same elevation]
∴△ABC∼△DEF by AA similarity criterion
So,
ABDE=BCEF
6DE=428
DE=6×7
=42m
∴ height is 42m
correct option is 4.
 
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