Question

12/11 Similarity Word Problems (Remote Learning Day To estimate the height of a tree, Adele waited until the tops of the shadows of the tree and the sign coincided. The sign and the tree have shadows of 6.4 meters and 15.8 meters, respectively with the sign height being 2 meters. Find the height of the tree to the nearest tenth. 2 m 15.8 height of the tree = m 1 2

Answer 1

Let the height of the tree be x

2/6.4 = x / 15.8

Multiply both-side of the equation by 15.8

(2/6.4)(15.8) = x

4.9375 = x

x = 4.9m