Question

A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?

Answer 1

Answer:

$h_t=9ft$

Step-by-step explanation:

From the question we are told that:

Height of child $h_c=3ft$

Height of child's shadow  $h_c_s=2ft$

Height of tree's shadow $h_t_s=6ft$

Since position of Sun remains constant  

Generally the equation for Height of tree h_t mathematically given by

 $h_t=f_{ts}\frac{h_c}{h_c_s}$

 $h_t=6*\frac{3}{2}$

 $h_t=9ft$