Question

a person clapped his hands near a cliff and heared the eco after 5s. what is the distance of the cliff from the person? the speed of sound in air is 2340m/s​

Answer 1

as we know
in echo, sound travels two times

first, from the man to cliff..
second, from cliff to man..

so the time it took to come from cliff to man is half of the given time, that is
5/2=2.5 seconds

as,
speed=distance/time
so from given question we gets,

speed= 2340 m/s
time=2.5 seconds(it is half of the given time because the sound travels two times)

so,

$2340 = \frac{x}{2.5 }$

$2340 \times 2.5 = x$

$x = 5850$

so distance is 5850 metre or 0.5850 km

Answer 2

hey!

time taken to hear the echo = 5s

speed of sound in air = 2340m/s

distance of the cliff from the person = 2d (let)

as the sound will travel to cliff and will come back from cliff

speed= distance/time

speed*time = 2d

2340*5/2 = d

d= 5850m