The tree is 12 feet tall the tree shadow is 6 yards long write this as a rate of tree height to shadow length.
tree : shadow
= 12 : 6
= 2 : 1
First, you must convert the 6 yards to feet. 3 * 6 = 18 feet.
The length is 12 feet.
The shadow is 18 feet.
12 feet/18 feet = 2/3 feet
The answer is 2 feet in length / 3 feet in Shadow.
To write the rate of tree height to shadow length, we need to ensure that both measurements are in the same unit. Let's convert the shadow length from yards to feet:
1 yard = 3 feet
So, the shadow length in feet would be:
6 yards * 3 feet/yard = 18 feet
Now that both measurements are in feet, we can write the rate of tree height to shadow length:
Tree Height: 12 feet
Shadow Length: 18 feet
The rate of tree height to shadow length would be:
12 feet/18 feet, or simply 12/18
This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 6:
(12/6) feet / (18/6) feet = 2 feet / 3 feet
Therefore, the rate of tree height to shadow length is 2/3.
To write the rate of the tree height to the shadow length, we need to ensure that both measurements are in the same unit of measurement. In this case, let's convert the shadow length from yards to feet since the tree height is already measured in feet.
There are 3 feet in a yard, so to convert 6 yards to feet, we multiply 6 by 3:
6 yards * 3 feet/yard = 18 feet
Now that both the tree height and shadow length are measured in feet, we can write the rate:
Tree Height : Shadow Length
12 feet : 18 feet
Simplifying this ratio, we can divide both parts by the greatest common factor, which is 6:
12 feet / 6 = 2 feet
18 feet / 6 = 3 feet
So, the rate of the tree height to the shadow length is:
2 feet : 3 feet