A 25 ft long ladder is placed against the wall with its base 7 ft from the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:
Explanation:
Let the base is drawn by x unit.
∴ Height of top of the ladder will decrease by x2.
∴ By Pythagoras theorem,
∴24-x22 + (7+x)2 = 625
∴x24 + x2 - 24x + 14x = 0
∴5x24 = 10x
∴ x = 8
Hence, option (e).
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