SOLUTIONS
Using the rule of SOHCAHTOA:
The height of the tree compared to the height of the boy is tangent:
[tex]tan\theta=\frac{opp}{adj}[/tex]
For the small triangle:
[tex]tan\theta=\frac{6}{3}.........(1)[/tex]
For the Big triangle:
[tex]tan\theta=\frac{h}{7}..........(11)[/tex]
Equating (1) and (11
[tex]\begin{gathered} \frac{6}{3}=\frac{h}{7} \\ \frac{6}{h}=\frac{3}{7} \end{gathered}[/tex]
Hence the correct answer = Option A
