Q:

If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree?Which of the following proportions could not be used to solve the problem?a: 14/1.8=x/4b: x/14=1.8/4c: x/1.8=14/4

Accepted Solution

A:
Answer: [tex]\frac{x}{14}=\frac{1.8}{4}[/tex]Step-by-step explanation:Let 'x' be the height of tree.The length of shadow of a tree = 14 mThe length of shadow of a person =4 mThe height of person = 1.8 mSince both man and tree are standing vertical to the ground. Assume the formation of shadow is happening at the same time then the angle that the sun hits the earth making shadows of both person and tree will be equal.By direct proportion , we have[tex]\frac{\text{height of tree}}{\text{length of shadow of tree }}=\frac{\text{height of person}}{\text{length of shadow of person}}\\\\\Rightarrow\frac{x}{14}=\frac{1.8}{4}[/tex]