At a given time of day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts of shadow that is 23.04ft.

38.40 ft

Step-by-step explanation:

The problem statement tells you the proportion is ...

height/shadow = (4 ft) / (2.4 ft) = (tree height) / (23.04 ft)

Multiplying by 23.04 ft, we find ...

tree height = (23.04 ft) (4/2.4) = 38.40 ft

The height of the tree is 38.40 ft.