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The bottom of the ladder is 14 feet from the house and the ladder is an 18 foot ladder that reaches to the top of the house. The question is how tall is the wall of the house? I reworded it to show some assumptions I made about what you are asking.
If these are not true, let me know


So the ladder, the wall of the house and the distance from the ground to the house form a right triangle with hypotenuse 18 and base 14.


Now, 142 +x2 =182
where x is the height of the wall.


Solving for x we find x=(Square root (324-196)=Square root 228
since 228 is 4x57 the answer is


2(square root (57)


57 is 3 x19 so it won't help to simplify it more.

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