A 2m pole casts a 1.5m long shadow. The school building casts a shadow that is 6m long, how tall is the school building.
Let the height of the school building be x meters.
Using similar triangles:
Height of the pole / Length of the pole's shadow = Height of the school building / Length of the school building's shadow
2m / 1.5m = x / 6m
Solving for x:
x = 2 * 6 / 1.5
x = 12 / 1.5
x = 8
Therefore, the height of the school building is 8 meters.