Broken tree

The tree is broken at 4 meters above the ground and the top of the tree touches the ground at a distance of 5 from the trunk. Calculate the original height of the tree.

Result

x =  10.403 m

Solution:

x=4+42+52≐10.4031=10.403 mx=4+\sqrt{ 4^2+5^2 } \doteq 10.4031=10.403 \ \text{m}

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