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A vertical stick 20 cm long casts a shadow 6 cm long on the ground. At the same time, a tower casts a shadow 15 m long on the ground. Find the height of the tower. - Mathematics

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Sum

A vertical stick 20 cm long casts a shadow 6 cm long on the ground. At the same time, a tower casts a shadow 15 m long on the ground. Find the height of the tower.

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Solution

Let the sun’s altitude at that moment be θ.

∆PQM ~ ∆ABC

`\Rightarrow \frac{MP}{MQ}=\frac{AC}{CB}`

`\Rightarrow \frac{h}{15}=\frac{20}{6}`

∴ Height of the tower = 50 m.

Concept: Similarity
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