Bamboo

Bamboo high 32 feet was at a certain height broken by the wind so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken?

Correct result:

x =  12

Solution:

$$\begin{gathered} x^2=(32-x{)}^2-16^2 \\ 64x=768 \\ x=768\mathrm{/}64=12 \\ =12 \end{gathered}$$

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