Question

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.

Answer 1

38.40 ft

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.