Question

a peacock is sitting on the top of a pillar which is 9m high . from a point 27 metre away from the bottom of the pillar , a snake is coming to it's 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 .​

Answer 1

Answer:

The answer is 12m

Step-by-step explanation:

Let , the distance be xm

Distance covered by the snake and peacock must be same because the speed of both of them r equal i.e, (27-x)m

Therefore,

${x}^{2} + {9 = (27 - x )}^{2} \\ {x }^{2} + 81 = 729 - 54x + {x}^{2} \\ 54x = 648 \\ x = 648 \div 54 \\ x = 12m$

Answer 2

Given :

★ A peacock is sitting on the top of the 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 ounces on it. If their speeds are equal.

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Find :

★ What distance from the hole is the snake caught.

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Concept :

★ As per the given question, the concept is finding the distance from a point to a certain point, so let us assume "x" as the difference between them.

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★ Remember that, the variable x is used here instead of word DISTANCE in our equations.

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Calculations :

→ 9² + (27)²

→ 81 + 729 + x - 54

→ 810/54

→ 15

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Finding the distance :

→ x = 15 - 3

→ x = 12 m

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★ Therefore, 12 meter is the distance from the hole.