We can set a proportional relation ship comparing the height of the pole to the height of the tree, then:
[tex]\begin{gathered} \frac{20}{15}=\frac{h}{24} \\ 20\cdot24=15h \\ 480=15h \\ h=\frac{480}{15} \\ h=32 \\ \end{gathered}[/tex]The tree is 32 feet tall.