Answer:
The length of the girl's shadow is 20 feet.
Step-by-step explanation:
To determine the length of the girl's shadow, we can set up a proportion using the similar triangles formed by the girl and her shadow, and the tree and its shadow.
Let's assign variables to the unknown lengths:
Length of the girl's shadow = x
Using the given information:
Height of the tree = 25 feet
Length of the tree's shadow = 100 feet
Height of the girl = 5 feet
Now we can set up the proportion:
Height of the girl / Length of the girl's shadow = Height of the tree / Length of the tree's shadow
Plugging in the values:
5 / x = 25 / 100
To solve for x, we can cross-multiply and then divide:
5 * 100 = 25 * x
500 = 25x
Dividing both sides by 25:
500 / 25 = x
20 = x
Therefore, the length of the girl's shadow is 20 feet.
