An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. Find the length of the shortest ladder that extends from the ground to the house without touching the fence. Assume the vertical wall of the house and the horizontal ground have infinite extent. The length of the shortest ladder is 35.999 ft. (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.)

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