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A stick 2m long is placed vertically at point b .The top of the stick in the ls in line with the top of a tree as seen from point a .Which is 3m from a stick and 30 m from the tree how tall is the tree

Answer :

Answer:

20 Metres

Step-by-step explanation:

I have prepared the diagram below for reference

Let |BC| be the length of the stick and |DE| the length of the tree.

We use the idea of similar traingles,

[tex]\frac{|BC|}{|DE|} = \frac{|AB|}{|AE|}[/tex]

|BC|=2m, |AB|=3m AND |AE|=30m

[tex]\frac{2}{|DE|} = \frac{3}{20}[/tex]

We cross multiply

|DE| X 3 = 2 X 30

[tex]|DE| = \frac{30 X 2}{3} = 20 metres[/tex]

Therefore, the height of the tree is 20 metres

${teks-lihat-gambar} Newton9022

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