Rich is 1.5 meters tall and cast a 0.75 meter shadow. At the same time a nearby flagpole cast a 3 meter shadow. How tall is the flagpole?
1.5/0.75 = x/3
0.75x = 4.5
x = 6 meters
To find the height of the flagpole, we can use the concept of similar triangles. The ratio of the corresponding sides of two similar triangles is equal. In this case, we can set up the following proportion:
Height of Rich / Length of Rich's shadow = Height of flagpole / Length of flagpole's shadow
Plugging in the given values:
1.5 meters / 0.75 meters = Height of flagpole / 3 meters
Now we can solve for the height of the flagpole:
1.5 meters / 0.75 meters = Height of flagpole / 3 meters
(1.5 meters * 3 meters) / 0.75 meters = Height of flagpole
4.5 meters / 0.75 meters = Height of flagpole
6 meters = Height of flagpole
Therefore, the flagpole is 6 meters tall.