A vertical stick 10 cm long casts a shadow 8 cm long. At the same time a shadow 30 m long. Determine the height of the tower.

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asked Feb 10, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 940

A vertical stick 10 cm long casts a shadow 8 cm long. At the same time a shadow 30 m long. Determine the height of the tower.

1 Answer

+1 vote
answered Feb 10, 2018 by mdsamim (213,225 points) 5 10 15
selected Feb 10, 2018 by sforrest072
 
Best answer

Length of stick = 10 cm
Length of shadow of stick = 8 cm
Length of shadow of tower = h cm
In ΔABC and ΔPQR
∠B = ∠Q = 90°
And, ∠C = ∠R [Angular elevation of sun]
Then, ΔABC ~ ΔPQR [By AA similarity]

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