patrickmulbah93
Answered

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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?​

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 class=

Sagot :

mhanifa

Answer:

  • 20 m

Step-by-step 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
ItzTds

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.

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