girl is 6 feet tall and a pine tree next to her is 42 feet tall and casts a shadow that is 28 feet. how long is the girls shadow
using similar triangles, compare shadow/height:
28/42 = s/6
s = 4
42/28 = 6/x
Solve for x
To find out how long the girl's shadow is, we can use a proportion comparing the height of the girl to the height of her shadow with the height of the pine tree to the length of its shadow.
We can set up the proportion as follows:
Girl's height / Girl's shadow length = Pine tree's height / Pine tree's shadow length
Plugging in the given values:
6 feet / x = 42 feet / 28 feet
Now we can solve for x, which represents the length of the girl's shadow.
To solve the proportion, we cross-multiply and then divide:
x = (6 feet * 28 feet) / 42 feet
Simplifying:
x = 168 feet * feet / 42 feet
x = 168 feet
Therefore, the length of the girl's shadow is 168 feet.