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 3 -ft stick in the ground casts a shadow of 1.2 ft, find the height of a tree that casts a shadow that is 14.56 ft.

Question

Mathematics

Aylin Middleton

21 April, 02:08

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 3 -ft stick in the ground casts a shadow of 1.2 ft, find the height of a tree that casts a shadow that is 14.56 ft.

+3

Answers (1)

Know the Answer?

Emmett Le · Answer 1

36.4 ft

Step-by-step explanation:

(object height) / (shadow length) = (3 ft) / (1.2 ft) = (tree height) / (14.56 ft)

Multiply by 14.56 ft:

tree height = (14.56 ft) (3/1.2) = 36.4 ft

The height of the tree is 36.4 feet.