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

`h_t=9ft`

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)(h_c)/(h_c_s)`

`h_t=6*(3)/(2)`

`h_t=9ft`