Question

a peacock is sitting on a pillar 9unit high. A snake is at a distance of 27 unit from the pillar is coming to a hole and he at the base of the pillar. seeing a snake the Peacock bounced up on it. if they have equal speed to meet tell me at what distance from the whole is naked

Answer 1

that we know that pillar stand on earth at 90 degree therefore triangle ABC is right angle triangle

Answer 2

Let the hole be at the bottom B of the pole AB

Initially, the snake is at C, so that AC = 27cm

Let v be the common speed of both the snake and the peacock, suppose the peacock catches the snake at point D after time t.

Clearly,

CD = AD = x (say)

In right ∆ABD,we have

AD = x,

AB = 9m

BD = 27-x

By Pythagoras theorem,

$\longrightarrow$$\sf{{AD}^{2}={AB}^{2}+{BD}^{2}}$

$\longrightarrow$$\sf{ {x}^{2} = {9}^{2} + {(27 - x)}^{2}}$

$\longrightarrow$$\sf{ {x}^{2} = 81 + 729 - 54x + {x}^{2}}$

$\longrightarrow$$\sf{54x = 810}$

$\longrightarrow$$\sf{x = 15}$

$\therefore$ $\sf{BD=27-x=27-15=12}$

Hence, the snake is caught at a distance of 12m from the hole.