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katrin2010 [14]
3 years ago
12

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.
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

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 c made by fir and ash tree will be same as shown in figure

\Rightarrow \tan c=\dfrac{16}{12}=\dfrac{8}{x}\\\\\Rightarrow x=8\times \dfrac{12}{16}\\\\\Rightarrow x=5\ m

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