Judah wants to know the height of a jungle gym. If the jungle gym casts a shadow 11.2 yards long and a? nearby monument that is 19.8 yards tall casts a shadow 33.6 yards long, then how tall is the jungle gym?

6.6 yd

Step-by-step explanation:

Objects and shadows are considered proportional, so we have ...

object height / shadow length = gym height / (11.2 yd) = (19.8 yd) / (33.6 yd)

Multiplying by 11.2 yd gives ...

gym height = (11.2 yd) (19.8) / 33.6 = 6.6 yd

The jungle gym is 6.6 yards tall.