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 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.

Answer 1

36.4 ft

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.