Question

An 18-m tall tree is broken during a severe storm, as shown. The distance from the base of the trunk to the point where the tip touches the ground is 12 m. At what height did the tree break?

Answer 1

The tree break at 5 m height above ground

Explanation:

At x m height the tree break, the upper part 18-x m fell

(18 - x)² - x² = 12²

324 - 36x + x² - x² = 144

36x = 324 - 144 = 180

x = 5