A tall tree casts a shadow that is 30 meter long. At the same time, Nikki is 2 meters tall and casts a 3 meter shadow. How tall is the
tree?
We can set up a proportion to solve for the height of the tree:
height of tree / length of tree's shadow = height of Nikki / length of Nikki's shadow
Let x be the height of the tree. Then the proportion becomes:
x / 30 = 2 / 3
Cross-multiplying, we get:
3x = 60
Dividing both sides by 3, we get:
x = 20
Therefore, the height of the tree is 20 meters.
To find out how tall the tree is, we can set up a proportion using the measurements of Nikki and her shadow.
Let's represent the height of the tree as "x".
The proportion can be set up as follows:
Height of Nikki / Length of Nikki's shadow = Height of the tree / Length of the tree's shadow
Plugging in the given values, we have:
2 meters / 3 meters = x meters / 30 meters
Now let's solve for x by cross-multiplying:
2 meters * 30 meters = 3 meters * x meters
60 meters = 3x meters
Divide both sides of the equation by 3 to solve for x:
60 meters / 3 = x meters
x = 20 meters
Therefore, the tree is 20 meters tall.