A tree casts a shadow that is 9 meters long. A 54 meter tall building nearby casts a shadow that is 24 meters long. What is the height of the tree

Height of the tree is 20.25 m.

Step-by-step explanation:

Length of building AB = 54 m

Length of tree DE = 9 m

Shadow casted by the building (BC) = 24 m

Shadow casted by the tree (CE) = 9 m

Since, ΔABC ~ ΔDEC

By the property of similar triangles, corresponding sides of the similar triangles will be proportional.

h =

h = 20.25 m

Therefore, height of the tree is 20.25 m.

yes. we do proportions in probabilities.