Question

The shadow of a 5-m-long stick is 2 m long. At the same time the length of the shadow of a 12.5-m-high tree (in m) is ______.

पर्याय

• 3.0

• 3.5

• 4.5

• 5.0

Answer 1

The shadow of a 5-m-long stick is 2 m long. At the same time the length of the shadow of a 12.5-m-high tree (in m) is 5.0.

Explanation:

Let AB be the stick and AC be its shadow.

Let DE be the tree and DF be its shadow.

ΔABC ∼ ΔDEF.

∴ `(AB)/(DE) = (AC)/(DF)`

⇒ `5/(12.5) = 2/x`

⇒ `x = ((12.5 xx 2)/5)`

⇒ x = 5