Question

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.

Answer 1

Answer: 5 m

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=(16)/(12)=(8)/(x)\\\\\Rightarrow x=8* (12)/(16)\\\\\Rightarrow x=5\ m`