Answered

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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?

Sagot :

okpalawalter8

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]

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