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Alexandra's drafting class is building a scale model of the school's courtyard. Alexandra chose to make a model of a campus oak tree for the assignment as shown. The tree is 10 yards tall and the base of the tree is 5 yards away from the edge of a park bench. She calculated that her oak tree model should be 0.4 yards tall. What is the distance, in yards, from the base of the model tree to the edge of the model bench?

Sagot :

Answer:

It's 0.20

Step-by-step explanation:

The distance between the base of the model tree to the edge of the model bench is  0.2 yard.

Similar triangle :

A diagram is attached which describe the statement of question.

From diagram attached below, It is observed that both triangles are similar triangles.

The ratio of corresponding sides are same in the similar triangles.

the distance between the base of the model tree to the edge of the model bench is  x.

                     [tex]\frac{5}{x}=\frac{10}{0.4}\\ \\ 10x=2\\\\x=2/10=0.2yard[/tex]                

Learn more about the similar triangles here:

https://brainly.com/question/14285697

View image Ibiscollingwood
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