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1.a ladder reaches H when held vertically against a wall. When the base is 6 feet from the wall, the top of the ladder is 2 feet lower than H. How long is the ladder.

2.A ladder is leaning against a vertical wall . its starting position is A on the vertical wall and B on the ground.Point O is the right angle position at the base of the wall.The ladder slips to point C on the vertical wall and D on the ground.

AC = x, OC= 4AC, BD = 2AC and OB = 5 metres.

Form ann equation in x, find x and hence find the length of the ladder.

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