A flagpole casts a shadow 3.5 meters long. Anita is standing near the pole. Her shadow is 0.75 meters long. Anita's height is 1.5 meters. How tall is the flagpole?
Rearrange this so
The flagpole is
The heights and the shadows are in the same ratio because the sun is shining from the same angle, so the triangles formed are similar.
Notice that Anita's height is twice as long as her shadow, so the height of the flagpole will be
We can also write a direct proportion:
Height of flagpole