28. A peacock is sitting on the top of a pillar, which is 9m high. From a point 27 m away from thebottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake thepeacock pounches on it. If their speeds are equal at what distance from the whole is the snakecaught?

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

1.	28. A peacock is sitting on the top of a pillar, which is 9m high. From a point 27 m away from thebottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake thepeacock pounches on it. If their speeds are equal at what distance from the whole is the snakecaught?
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 haveAC^2= AB^2+ BC^2x^2= 9^2+ (27 – x)^2⇒ x^2= 81 + 729 – 54x + x^2⇒54x = 810∴x = 15