The figure for the Natasha height and height of tree can be draw as,
The length MO is 4ft.
The length of MQ is 24 feet.
The length of NO is 5.5 ft.
The length of tree (PQ) is x.
Consider the triangle MNO and triangle MPQ.
[tex]\begin{gathered} \angle NMO\cong\angle PMQ \\ \angle NOM\cong\angle PQM\text{ (Each right angle)} \\ \Delta NOM\cong\Delta PQM\text{ (By AA similarity)} \end{gathered}[/tex]
For similar triangle ratio of sides are equal. So,
[tex]\begin{gathered} \frac{NO}{PQ}=\frac{MO}{MQ} \\ \frac{5.5}{x}=\frac{4}{24} \\ \frac{5.5}{x}=\frac{1}{6} \\ x=5.5\cdot6 \\ =33 \end{gathered}[/tex]
Thus height of oak tree is 33 ft.
