SOLUTION: At a certain time of day, a tree that is x meters tall casts a shadow that is x−28 meters long. If the distance from the top of the tree to the end of the shadow is x+8 meters l

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: At a certain time of day, a tree that is x meters tall casts a shadow that is x−28 meters long. If the distance from the top of the tree to the end of the shadow is x+8 meters l      Log On


   

Question 1177772: At a certain time of day, a tree that is x meters tall casts a shadow that is x−28 meters long. If the distance from the top of the tree to the end of the shadow is x+8 meters long, what is the height, x, of the tree?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Right Triangle
x%5E2%2B%28x-28%29%5E2=%28x%2B8%29%5E2


x%5E2%2Bx%5E2-56x%2B28%5E2=x%5E2%2B16x%2B64
x%5E2-56x%2B28%5E2=16x%2B64
x%5E2-72x%2B28%5E2-64=0
x%5E2-72x%2B720=0

x=%2872%2B-+sqrt%2872%5E2-4%2A720%29%29%2F2
%2872%2B-+sqrt%282304%29%29%2F2
x=%2872%2B-+48%29%2F2
system%28cross%28x=12%29%2Cor%2Chighlight%28x=60%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

At a certain time of day, a tree that is x meters tall casts a shadow that is x−28 meters long. If the distance from the top of the tree to the end of the shadow is x+8 meters long, what is the height, x, of the tree?
Correct answer: highlight_green%28matrix%281%2C2%2C+60%2C+m%29%29