Bamboo

At a certain height, the wind broke the bamboo high 32 feet, 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 answer:

x =  12

Step-by-step explanation:

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

x^2 = (32-x)^2 - 16^2

64x = 768


x = 768/64 = 12

x = 12

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