Question

The diagram includes an illustration of a building that is 180ft tall, it's shadow reaches 120ft in distance, and the line from the tip of the building to the end point of the shadow is 144ft. If the tree touches the midpoint of that line, what is the tree's height to the nearest foot?

72 ft

90 ft

180 ft

80 ft

Answer 1

90 ft

To find the height of the tree, we need to use similar triangles.

Let x be the height of the tree.

Using the properties of similar triangles, we can set up the following proportion:

x/120 = 180/144

Solving for x:

x = (120 * 180) / 144
x = 150 ft

Therefore, the height of the tree is 150 ft.