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3 years ago

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?

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

6 0

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

Kay [80]3 years ago

4 0

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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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?