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A peacock is sitting on the …

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A peacock is sitting on the top of a pillar which is 9m high.From a point 27m away from the bottom of the pillar.a snake is coming to its hole at the base of the pillar. Seeing the snake the peacock pounce on it. If their speed are equal,at what distance from the the hole is the snake caught.
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Avinash Saigal 6 years, 11 months ago

Let the distance covered by the peacock be AC = x m Hence the distance covered by the snake is DC = x m In right ΔABC, by Pythagoras theorem we have AC2 = AB2 + BC2 x2 = 92 + (27 – x)2 ⇒ x2 = 81 + 729 – 54x + x2 ⇒ 54x = 810 ∴ x = 15....... Thank you???
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