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?

Result

x =  12

Solution:

x2=(32x)2162 64x=768 x=768/64=12 =12 x^2 = (32-x)^2 - 16^2 \ \\ 64x = 768 \ \\ x = 768 / 64 = 12 \ \\ = 12

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