Amelia is 5 feet tall and casts a 4-foot shadow.

Question

A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.

Choose two equations that can be used to find the height, h, of the tree.

Answer 1

h/12 = 5/4
h/5 = 12/4
or even
12/√(h^2+144) = 4/√41

Answer 2

h = Height of the tree

5 / 4 = h / 12

Cross multiply

5 ∙ 12 = h ∙ 4

60 = 4 h

4 h = 60

h = 60 / 4

h = 15 ft

OR

Foot´s shadow = 12 ft

Amelia´s shadow = 4 ft

12 ft / 4 ft = 3

The two triangles formed are similar so the height of the tree is 3 times higher than Amelia's height.

Height of the tree = 3 Amelia's height

h = 3 ∙ 5 ft = 15 ft

Answer 3

12/√(h^2+144) = 4/√41 ?

Reminds me of a Walt Disney math movie called
Donald Duck in Mathemagics Land, where he is in a forest where all
the trees have square roots.

Answer 4

IM CONFUSED

Answer 5

12/4=h/5

5/4=h/12

i had the same question on ttm and I got it right :)