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
