29. A peacock is sitting on the top of a pillar, which is 9 m high. Fr

1.	29. A peacock is sitting on the top of a pillar, which is 9 m high. From a point 27 m awayfrom the bottom of the pillar, a snake is coming to its hole at the base of the pillarSeeing the snake the peacock pounces on it. If their speeds are equal, at what distancefrom the hole is the snake caught?
Answer» Let the distance covered by the peacock be AC = x mHence the distance covered by the snake is DC = x mIn right ΔABC , by Pythagoras theorem we haveAC2= AB2+ BC2 x2= 92+ (27 – x)2⇒ x2= 81 + 729 – 54x + x2⇒54x = 810∴x = 15

29. A peacock is sitting on the top of a pillar, which is 9 m high. From a point 27 m awayfrom the bottom of the pillar, a snake is coming to its hole at the base of the pillarSeeing the snake the peacock pounces on it. If their speeds are equal, at what distancefrom the hole is the snake caught?

Answer»

Let the distance covered by the peacock be AC =

x mHence the distance covered by the snake is DC = x mIn right ΔABC

, by Pythagoras theorem we haveAC2= AB2+ BC2

x2= 92+ (27 – x)2⇒

x2= 81 + 729 – 54x + x2⇒54x = 810∴x = 15