Home
Class 10
MATHS
A peacock is sitting on the top of a pil...

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

Text Solution

Verified by Experts

`s = v xx t`
if `SM = x then, MP= x`
`v_s = v_p` so, `t_s = t_p`
`S_s = S_p`
in `/_ PMH`
`PM^2 = MH^2 = PH^2`
`x^2 = (27-x)^2 + 9^2`
`x^2 = 729 - 54x + x^2 + 81`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

A peacock is sitting on the top of a pillar 9m high. From a point 27 m away from the bottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing this, the peacock pounces on the snake. If their speeds are equal, at what distance from hole is the snake caught?

The angle of elevation of the top of a 15m high tower from a point 15m away from the base of the tower is………

A sab, standing on the top of a pillar 25 m high subiends an angle whose tangentis 0 - 125 at a point 60 m from the foot of the pillar. The best approximation for the height of the status is:

A statue, standing on the top of a pillar 25 m high, subtends an angle whose tangent is 0.125 at a point 60 m from the foot of the pillar. The best approximation for the height of the statue is

At a point 15 m away from the base of a 15 m high house, the angle of elevation of the top is

At a point 15 m away from the base of a 15 m high house, the angle of elevation of the top is

At a point 15 m away from the base of a 15 m high house, the angle of elevation of the top is

From the top of a tower , which is 240m high , if the angle of depression of a point on the ground is 30^@ . then the distance of the point from the foot of the tower is