Solution:
Given that,
Let, Height of tree = x
shadow of tree = 32.5 feet
height of flagpole = 24 foot
shadow of flagpole = 15 foot
Set up a proportion comparing the height of each object to the length of the shadow
Therefore,
[tex]\frac{ \text{ Height of tree }}{ \text{ shadow of tree }} = \frac{ \text{height of flagpole }}{ \text{ shadow of flagpole} }[/tex]
Substituting the values we get,
[tex]\frac{x}{32.5} = \frac{24}{15}\\\\15x = 24 \times 32.5\\\\15x = 780\\\\x = 52[/tex]
Thus height of tree is 52 feet
