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A 15feet ladder leaning against a bulding touches the wall 12 feet above the ground. How far from the building is the bottom of the ladder?
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This is a standard right triangle problem.
The formula for solving the parameter of a triangle is a^2 + b^2 = c^2 Also known as the Pythagorean theorem.
So, in this problem, the ladder is the hypotenuse, that is to say side c of the triangle.
The height of the house is 12 or b in this example.
Finally, the distance from the house, is the unknown distance a .
Applying this knowledge gives us a^2 + 12^2 = 15^2
Simplified to a^2 + 144 = 225
225 - 144 = 81
So now you have a^2 = 81.
Taking the square root of each side of the equation, we're left with:
a = 9
So, the ladder is nine feet away from the house at the bottom of the ladder.
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