A vertical stick 24 cm long casts a shadow 16 cm long on the ground. At the same time a tower casts a shadow 80 m long on the ground. Determine the height of the tower.

60m

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120m

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80m

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70m

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Solution

The correct option is B
120m

$∠ B = ∠ Q [∠ o f e l e v a t i o n a t t h e s a m e t i m e] A n d ∠ C = ∠ R (e a c h 90^{0}) \Rightarrow△ A B C \sim△ P Q R (A A C o r r o l l a r y) T h u s \frac{16}{8000} = \frac{24}{x} \Rightarrow x = 12000 c m \Rightarrow x = 120 m .$

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A vertical stick 24 cm long casts a shadow 16 cm long on the ground. At the same time a tower casts a shadow 80 m long on the ground. Determine the height of the tower.

The correct option is B 120m ∠B=∠Q[∠of elevation at the same time]And ∠C=∠R(each900)⇒△ABC∼△PQR(AA Corrollary)Thus168000=24x⇒x=12000cm⇒x=120m.

The correct option is B
120m

$∠ B = ∠ Q [∠ o f e l e v a t i o n a t t h e s a m e t i m e] A n d ∠ C = ∠ R (e a c h 90^{0}) \Rightarrow△ A B C \sim△ P Q R (A A C o r r o l l a r y) T h u s \frac{16}{8000} = \frac{24}{x} \Rightarrow x = 12000 c m \Rightarrow x = 120 m .$