A mast

The wind broke a mast 32 meters high so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken?

Correct answer:

x =  12 m

Step-by-step explanation:

c2=x2+162 x+c = 32 (32x)2=x2+162 3222 32 x=162 x=(322162)/(2 32)=12 c=32x=3212=20 x=12=12 m

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