There is a proportional relation between the actual heights of 2 objects and their shadows at the same time
[tex]\frac{h_1}{h_2}=\frac{sh_1}{sh_2}[/tex]Since the shadow of the chimney is 32.5 m, then
[tex]sh_1=32.5[/tex]Since the shadow of the pole is 2.72 m, then
[tex]sh_2=2.72[/tex]Since the height of the pole is 2.4 m, then
[tex]h_2=2.4[/tex]Substitute them in the rule above
[tex]\frac{h_1}{2.4}=\frac{32.5}{2.72}[/tex]Use the cross-multiplication
[tex]\begin{gathered} h_1\times2.72=2.4\times32.5 \\ 2.72h_1=78 \end{gathered}[/tex]Divide both sides by 2.72
[tex]\begin{gathered} \frac{2.72h}{2.72}=\frac{78}{2.72} \\ h=28.67647059 \end{gathered}[/tex]Round it to the nearest 2 decimal places
The height of the chimney is 28.68 m
