Math, asked by sv6762107, 2 months ago

a vertical pole of length 6M casts a shadow 4 metre long on the ground and at the same time a tower cast a shadow 28 metre long find the height of the tower​

Answers

Answered by tanishab326
1

Answer:

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Answered by n0171mpsbls
1

Answer:

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.

Answer - 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

both 90

as both are vertical to ground

∠C=∠F (same elevation in both the cases as both shadows are cast at the same time)

∴△ABC∼△DEF by AA similarity criterion

We know that if two triangles are similar, ratio of their sides are in proportion

So,

DE

AB

=

EF

BC

DE

6

=

28

4

⇒DE=6×7=42 m

Hence the height of the tower is 42 m

Step-by-step explanation:

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