Atree on the farm casts a shadow that is 5 feet long. tyler standing next to the tree casts a a shadow that is 2 feet tall. iftyler is 4 feet tall and the shadows are proportional to the heights, how tall is the tree?

Hi,

To solve this, we'll need to use proportional ratios, or ratios that are equivalent.

Since the tree's height is 5 feet long, and has a shadow of x feet in length (x being an unknown value), here's the ratio:
5/x
At the same time, Tyler is 4 feet tall, and has a shadow of 2 feet long, so here's the ratio:
4/2

Because the shadows are proportional to the heights, we'll set the ratios equal to each other:
5/x = 4/2

Now, we'll cross multiply:
5 × 2 = 10:
4 × x = 4x:
4x = 10

Finally, we'll divide both sides by 4:
x = 2.5

The tree's shadow's length is 2.5 feet long. Hope this helped!

Is there a picture of a graph or whatever that goes along with this?