Answer:
[tex]h_t=9ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height of child [tex]h_c=3ft[/tex]
Height of child's shadow [tex]h_c_s=2ft[/tex]
Height of tree's shadow [tex]h_t_s=6ft[/tex]
Since position of Sun remains constant
Generally the equation for Height of tree h_t mathematically given by
[tex]h_t=f_{ts}\frac{h_c}{h_c_s}[/tex]
[tex]h_t=6*\frac{3}{2}[/tex]
[tex]h_t=9ft[/tex]