Question

A tree cast a shadow of 30m long and a 2m stick casts one that is 3m long. As show in the below diagram how tall is the tree?​

Answer 1

• 20 m

Explanation:

We have similar triangles here.

• BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC

The ratio of corresponding sides of similar triangles is same:

• BC/DE = AC/AE
• BC / 2 = 30/3
• BC / 2 = 10
• BC = 2*10
• BC = 20 m

Answer 2

Take the similar triangles,

→ ∆ADE ≈ ∆ABC

Now we can find,

The height of the tree in meters,

→ BC/DE = AC/AE

In this equation BC is the height of tree,

→ BC/2 = 30/3

→ BC/2 = 10

→ BC = 10 × 2

→ BC = 20

Hence, the height of the tree is 20 m.