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A vertical stick 20cm long casts a shadow 15cm long. At the same time, a tower casts a shadow 30 metre long. What is the height of the tower ?

let the height of the tower be h m. its shadow is 30m. long.

the length of shadow of a 20 cm long vertical stick is 15cm long.

At a given time of day ,the ratio of height of an object to the length of its shadow is same for all objects.

therefore:

 

therefore height of the tower is 40 m.

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 This question is from ratio and proportion. Calculate the ratio between the Actual Height of the vertical stick and the shadow cast by it. it would be 20 cm / 15 cm = 4/3.

The ratio between the Actual Height of the tower and the shadow cast by it should also be same. Let us put them as togeter.

4/3 = Actual Height of the Tower / Shadow cast by it

or 4/3 = Actual Height of the Tower / 30 meter.

or Actual Height of the tower = 4 * 30 meter / 3 = 40 meter.

Cheers !!!!!!!!! Pranshul.

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Thank u very much!

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