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The height of tree is 8 feet
<h3><u>Solution:</u></h3>Given, Micah places a mirror on the ground 24 feet from the base of a tree
At that point, Micah's eyes are 6 feet above the ground
And he is 9 feet from the image in the mirror.
To find : height of tree = ?
Let "n" be the height of tree
From the question, we can see there is a directly proportional relationship between heights and distances.
Proportional relationships are relationships between two variables where their ratios are equivalent.
Hence, the height of the tree is 8 feet
In similar figures, the ratio between corresponding sides are the same.
Simplify the two to see that they are equal.
The top and bottom of the left fraction are divisible by 5.
The top and bottom of the right fraction are divisible by 7.
Of course, the dimensions of that third picture would have to be this fraction.
Let's test these answers.
⇒ A is not a solution
⇒ B is the solution
(divide the top and bottom by 6)
Simplify the two to see that they are equal.
The top and bottom of the left fraction are divisible by 5.
The top and bottom of the right fraction are divisible by 7.
Of course, the dimensions of that third picture would have to be this fraction.
Let's test these answers.
(divide the top and bottom by 6)