Let the height of the tree be 'h'
We can say:
h casts a shadow of 24
24 casts a shadow of 16
We can put it into a ratio:
[tex]\frac{h}{24}=\frac{24}{16}[/tex]Now, after cross multiplying, we can easily figure out the value of the variable "h", the height of the tree. Steps are shown:
[tex]\begin{gathered} \frac{h}{24}=\frac{24}{16} \\ 16h=24\times24 \\ 16h=576 \\ h=\frac{576}{16} \\ h=36 \end{gathered}[/tex]The tree is 36 feet tall.
Answer:
36 feet