Question

evaluate the following limits​

Answer 1

Answer:

Let AB represents a pillar AB = 9m9m9m

Snake is at C

BC = 2/m2/m2/m

Peacock cought the snake at D and BD = xmxmxm

DC = 27−x27 - x27−x = AD

speed of peacock = speed of snake

In right △ABD

→ (27−x)2=92+x2(27 - x) {}^{2} = 9 {}^{2} + x {}^{2}(27−x)

2

=9

2

+x

2

→ 729−54x+x2=81+x2729 - 54 \: x + x {}^{2} = 81 + x{}^{2}729−54x+x

2

=81+x

2

→ 729−81=54x729 - 81 = 54x729−81=54x

→ 54x=64854x = 64854x=648

→ x=12mx = 12mx=12m

Answer: 12m\color{green}{12m}12m

Hence, the peacock caught the snake at a distance of 12m\color{green}{12m}12m from the hole.

[ also see the above image for better understanding ]