SOLUTION: A 5.4 m tall tree is broken by the wind. The top of the tree falls and touches the ground 3.6 from the base. How many meters from the base of the tree did the break occur?

Algebra ->  Equations -> SOLUTION: A 5.4 m tall tree is broken by the wind. The top of the tree falls and touches the ground 3.6 from the base. How many meters from the base of the tree did the break occur?      Log On


   



Question 1012116: A 5.4 m tall tree is broken by the wind. The top of the tree falls and touches the ground 3.6 from the base. How many meters from the base of the tree did the break occur?
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
r, the length of the broken top now a hypotenuse
y, remaining part still sticking up
r%2By=5.4
longer LEG of the figure formed is 3.6, distance from tree base to point on ground where tree tip has touched
-
Draw the picture for the description.


y%5E2%2B3.6%5E2=r%5E2

You want to know the VALUE of y.
r=5.4-y
-
y%5E2%2B3.6%5E2=%285.4-y%29%5E2-----continue with this.