Lance the alien is 5 feet tall. His shadow is 8 feet lopg.
5 ft
8 ft
32 it
At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

20 ft

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal.

let h be the height of the tree, then

= = 4 ( multiply both sides by 5 )

h = 20

The height of the tree is 20 ft

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.