A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? (Round your answer to two decimal places.)

The online solution for this was 16.64, which was incorrect. I went through the problem following the same steps, but got 13.43. After inputting my x=(8*(256^1/3 + 4)/ 256^1/3) and y= 256^1/3 into L = sqrt(x^2 + (4 + y^2)) exactly into my calculator many times, I entered it approximately and got 14.64, which like the previous two answers was incorrect. Any help would be greatly appreciated, thank you.

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