Question

An electric pole , 16 metre high casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 25 metres under similar condition​

Answer 1

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Answer 2

Answer:

40m

Step-by-step explanation:

Given:

Height of pole (Perpendicular) = P₁ = 16m

Length of shadow (Base) = B₁ = 10m

Length of shadow formed by tree (Base) = B₂ = 25m

Height of tree (Perpendicular) = P₂ =??

Since the condition is similar

by using similarity criterion ration of the side will be same

∴P₁/P₂ = B₁/B₂

⇒16/P₂ = 10/25

⇒10P₂ = 16 × 25

⇒ P₂ = 400/10 = 40m

You can also use the proportional method to solve this