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A shadow 12 meters long is cast by a fir tree that is 16 meters tall. What is the length of the shadow cast by a nearby ash tree that that is 8 meters tall?
Write your answer as a whole number or a decimal. Do not round.

Respuesta :

Answer: 5 m

Step-by-step explanation:

Given

Length of 16 m fir tree is 12 m

length of the ash tree is 8 m

Suppose x is the length of the ash tree

angle [tex]c[/tex] made by fir and ash tree will be same as shown in figure

[tex]\Rightarrow \tan c=\dfrac{16}{12}=\dfrac{8}{x}\\\\\Rightarrow x=8\times \dfrac{12}{16}\\\\\Rightarrow x=5\ m[/tex]

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