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Numerical Ability
Height and Distance
a peacock is sitting on a 19 m long pole, a snake is approaching the hole which is at bottom of the pole, the snake is 27 m away from the hole, if their speeds are same, find the distance from the hole at which the peacock pounces over the snake.
a. 3.4 m b. 6.8 m c. 5.9 m d. 7.3 m
Read Solution (Total 7)
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- They both have same speed hence if snake moves 'x' then peacock also moves 'x' but diagonally down from the pole...
hence path of peacock , ground, and the pole make a triangle...... with diagonal (Hypotenuse) = x
snake moves 'x' hence distance left =( 27 - x ) which is the base of triangle
and height of the pole is the height of triangle =19.
now, apply pythagoras' theorem----- x^2= (27-x)^2 + 19^2
solve the equation ..... x= 20.18 m
And the distance from the hole at which the peacock pounces over the snake = 27 - 20.18 = 6.8
Answer= 6.8
- 9 years agoHelpfull: Yes(15) No(2)
- pole is 19 m long (perpendicular)
and
snake distance is 27 m (base)
(19m)
|
|
|
|
|..............................(27m)
if peacock tries to catch snake then it would make triangle (i.e. hypotenuse)
let hypotenuse be of " X m "
but snake already traveled some distance thus it travels (27 - X) m distance
Now To find X value we can apply Pythagoras theorem i.e
hypotenuse^2 = base^2 + perpendicular^2
Thus,
X^2 = (27 - X)^2 + 19^2
By solving it We will find
X = 20.18
Now To find the distance from the hole at which the peacock pounces over the snake
We have to put the X value to the (27-X) m i.e. Hypotenuse
Therefore, 6.82 will be the answer - 8 years agoHelpfull: Yes(9) No(0)
- Dear Saikumar,
x is the distance traveled by both snake and peacock hence - x meters is correct. - 9 years agoHelpfull: Yes(1) No(2)
- pk___
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|| (x)
||(19)
||...................... $ - 8 years agoHelpfull: Yes(1) No(4)
- Please give d answers
- 9 years agoHelpfull: Yes(0) No(2)
- Here Divyanshu "x" is in m/s not mts....
- 9 years agoHelpfull: Yes(0) No(2)
- plz explain clearly
- 7 years agoHelpfull: Yes(0) No(0)
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