Question

A celebrity holds a press conference, which is televised

live.A television viewer hears the sound picked up by
microphonedirectly in front of the celebrity. This viewer is seated
2.3m fromthe television set. A reporter at the press conference is
located4.1m away from the microphone and hears the words directly
at thevery same instant that the television viewer hears them.
Using avalue of 343m/s for the speed of sound, determine the
maximumdistanced between the television viewer and celebrity.

Answer 1

The maximum distanced between the television viewer and celebrity is:

3586 km

Step-by-step explanation:

First, we are going to calculate the time it takes sound to travel from the celebrity to the reporter:

How the sound's speed is 343 m/s, then:

x = vt and
`t = (x)/(v)`

Where: x: the distance traveled by the sound

v: the sound's speed

t : time

then

t = 4.1/343 = 0.011953 seconds

This time is the same that the electromagnetic signal takes to travel from the celebrity to the television viewer. Considering that the electromagnetic signal travels to the light's speed and it is:

`V_(l) = 300000 km/s`

The maximum distanced between the television viewer and celebrity is:

x = vt

x = (300000km/s)(0.011953s ) = 3586 km