Natasha stands 5.5 feet tall and has a shadow that measures 3 feet long. At the same time, a tree next to
Natasha has a shadow that measures 12 feet long. How tall is the tree?
15 ft
15
To determine the height of the tree, we can set up a proportion using the information given.
Let's assign variables:
- Height of Natasha: N
- Length of Natasha's shadow: S
- Height of the tree: T
- Length of the tree's shadow: TS
The proportion can be set up as:
N / S = T / TS
Now, substitute the given values:
N / 3 = T / 12
To solve for T, the height of the tree, cross-multiply and solve for T:
N * 12 = T * 3
12N = 3T
Next, divide both sides of the equation by 3:
12N / 3 = T * 3 / 3
4N = T
Finally, to find the height of the tree, substitute the value of N (5.5 feet) into the equation:
4 * 5.5 = T
T = 22
Therefore, the height of the tree is 22 feet.
5.5/3 = x/12
Cross multiply and solve for x.
Natasha stands 5.5 feet tall and has a shadow that measures 3 feet
long. At the same time, a tree next to Natasha has a shadow that
measures 12 feet long. How tall is the tree?