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A peacock in sitting on the top of a pillar, which is 9m high . From a point 27 m away from the bottom of pillar , a snake is coming to its hole at the base of pillar . Seeing the snake the peacock pounces on it. If their speeds are equal, at what distance from the whole is snake caught ??
Answers
Answered by
6
Answer:
Distance from hole =12m
Explanation:
As speed of both peacock and snake is same
so distance covered by both of them will be same
So let distance be x.
Snake will be at distance of 27-x.
Peacock distance will be equal to:
(9)^2+ (27-x)^2=(x)^2
81+729+x^2- 54x =x^2
x=810/54
x=15m
Distance covered by both of them:15m
Distance from hole : 27-15 =12m
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Answered by
2
Answer:
Step-by-step explanation:
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
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