Question

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

Answer 1

The question ask to calculate and find the approximate height of the tree to the nearest foot if it has cast a shadow of 25feet and the man also cast a shadow near it at a height of 6 foot. So base on that fact, I came up with an answer of approximately 17 feet. I hope you are satisfied with my answer

Answer 2

Ratio of height of the man to the length of the shadow = 6:9 = 2:3
Ratio of height of the tree to the length of its shadow = x:25 = 2:3
x/25 = 2/3
x = (25 x 2)/3 = 50/3 = 16.67

Therefore the approximate height of the tree to the nearest foot is 17 feet.