A tree in the park makes a shadow on the ground at the same time the basketball post makes a shadow on the ground, as shown. If the height of the basketball post is 10 feet tall, and casts a 25 foot shadow, and the tree casts a 50 feet shadow, use properties of similar triangles to determine the height of the tree.

simple. according to similar triangle property the ratio of sides are proportional that is height of basketball post / height of tree = shadow of basketball / shadow of tree = 10/ height of tree = 25 / 50