Question 1041874
Let x be the elevation, then the elevation and horizontal length forms a right angle (90 degrees) and the incline is the hypotenuse.  Therefore, we can use the Pythagorean Theorem to solve for the elevation.
:
x^2 +(x+11)^2 = (2x)^2
:
x^2 +x^2+22x+121 = 4x^2
:
-2x^2 +22x +121 = 0
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2x^2 -22x -121 = 0
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Use the quadratic formula
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x = (-(-22) + square root( (-22)^2 - 4(2)(-121) ) ) / 2(2) = 15.0263
x = (-(-22) - square root( (-22)^2 - 4(2)(-121) ) ) / 2(2) = -4.0263
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We select the positive value for x (elevation) which is 15.0263
The length of the incline is 2 * elevation approx 30 meters
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