Asked by Katie
                Amelia is 5 feet tall and casts a 4-foot shadow.
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.
            
            
        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.
Answers
                    Answered by
            oobleck
            
    h/12 = 5/4
h/5 = 12/4
or even
12/√(h^2+144) = 4/√41
    
h/5 = 12/4
or even
12/√(h^2+144) = 4/√41
                    Answered by
            Bosnian
            
    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
    
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
                    Answered by
            mathhelper
            
    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.
    
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.
                    Answered by
            Cash
            
    IM CONFUSED
    
                    Answered by
            Kyla
            
    12/4=h/5
5/4=h/12
i had the same question on ttm and I got it right :)
    
5/4=h/12
i had the same question on ttm and I got it right :)
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.