Question

A peacock is sitting on the top of a pillar which is 9m high from a point 27 m away from the bottom of the pillar of snake is coming to its hole at the base of the pillar seeing the snake the peacock pounces on it if their speed are equal at what distance from the hole is the snake caught

Answer 1

After this

x^2 = 9^2 + ( 27 - x )^2

x^2 = 81 +729 -54x +x^2

0=810-54x

x=15.

QT = SQ-ST=12

Answer 2

Let snake and peacock travel x distance before they meet. Now snake is 27-x distance from hole. This forms a right angle triangle with hypotenus x,

base 27-x and 9m height.

Using pythogerus theorem

x^2=81+(27-x)^2

54x=810

x=15

27-x=12m