Answer :
[tex]Shadow\ of\ second\ three\ is\\\\
33+20=53\\
Triangles\ made\ of\ three\ and\ shadows\ are\ similar, so\\
Proportion\ of\ length\ of\ shadow:\ \frac{53}{33}\\\\
Height\ will\ be\ on\ the\ same\ proportion\\\\
\frac{x}{12}=\frac{53}{33}\\\\
3x=53*12\\
3x=636\\
x=212\\
Second\ three\ has\ 212\ yards.[/tex]
Answer: Height of second tree would be 7.27 yards.
Step-by-step explanation:
Since we have given that
Height of a tree = 12 yards
Length of shadow of tree = 33 yards
If the shadow of tree = 20 yards
Then, we need to find the height of tree.
Since there is direct relation between height of tree and length of its shadow.
So, Let the height of tree in the second case be 'x'.
So, it becomes,
[tex]\dfrac{12}{33}=\dfrac{x}{20}\\\\\dfrac{12\times 20}{33}=x\\\\7.27\ yards=x[/tex]
Hence, height of second tree would be 7.27 yards.