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

use the ratio of corresponding sides in similar triangles



so

\[\frac{h}{6} = \frac{25}{9}\]

just solve for h

Answer 2

thanks