It is given that a tree casts 35m long shadow and at the same time a pole casts a shadow 7m tall.The pole is 4.5m tall.
So make 2 similar triangles as follows:
As both shadows are cast at the same time, the angle is essentially the same.
[tex]\begin{gathered} \tan \theta=\frac{4.5}{7}\ldots(i) \\ \tan \theta=\frac{AB}{35}=\frac{4.5}{7} \\ AB=\frac{4.5\times35}{7}=22.5m \end{gathered}[/tex]Hence the height of tree is 22.5m.
