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During the hurricane a 16-meter-tall tree got fractured and its higher part fell down so that its tip touched the ground at the distance of 8 meters from the trunk. At what height is the fracture?

 

 Apr 17, 2020
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Using Pythag theorom

 

x = height      16-x = top of tree= hypotenuse

 

x^2   + 8^2 = (16-x)^2

x^2 + 64 = x^2 -32x+256

64 = -32x+256

x = 6 Meters

 Apr 17, 2020

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