The ratio of shadow to the height is constant for flagpole and woman.
The ratio of flagpole shadow and flagpole height is,
[tex]\frac{13}{30}[/tex]
The rate of woman shadow and woman height (h) is,
[tex]\frac{2}{h}[/tex]
The ratio is smae for woman and flagpole. So,
[tex]\frac{13}{30}=\frac{2}{h}[/tex]
Solve for h.
[tex]\begin{gathered} \frac{13}{30}=\frac{2}{h} \\ h=\frac{2\cdot30}{13} \\ =\frac{60}{13} \\ =4.615\text{ feet} \\ \approx4.6\text{ feet} \end{gathered}[/tex]
Answer: 4.6 feet
