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 is ______.

Options

• 3 m

• 3.5 m

• 4.5 m

• 5 m

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 is 5 m.

Explanation:

Ratio of lengths of objects = Ratio of lengths of their shadows.

Let the length of shadow of the tree be x m.

Then, `5/(12.5) = 2/x`

⇒ 5x = 2 × 12.5

⇒ 5x = 25

⇒ x = `25/5`

⇒ x = 5