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 33-ft stick in the ground casts a shadow of 1.2ft, find the height of a tree that casts a shadow that is 14.16ft.
We can use a proportion to solve this
Height of Stick = Height of Tree
___________________ ___________________
Length of Tree Shadow Length of Tree Shadow
33 = Height of Tree
__ ___________
1.2 14.16
Multiply both sides by 14.16
33 (14.16) / 1.2 = Height of Tree = 389.4 ft