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0 votes
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in Mathematics by (33.0k points)

A vertical pole 6m long casts a shadow of length 3.6m on the ground. What is the height of a tower which casts a shadow of length 18m at the same time? 

(a) 10.8m (b) 28.8m (c) 32.4m (d) 30m

1 Answer

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Best answer

Let AB and AC be the vertical pole and its shadow, respectively.

According to the question: 

AB = 6 m 

AC = 3.6 m 

Again, let DE and DF be the tower and its shadow.

 According to the question: 

DF = 18 m 

DE =? 

Now, in right -angled triangles ABC and DEF, we have:

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