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From a cloud at an angle of 30^(@) to th...

From a cloud at an angle of `30^(@)` to the horizontal, we hear the thunder clap 8 s after seeing the lightening flash. What is the height of the cloud above the ground if the velocity of sound in air is `330 m//s` ?

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Here, `theta=30^(@), t=8s, v=330m//s, h =?`
Distance of cloud, `s=vxxt=330xx8m`
As `theta` is angle with horizontal therefore, height of cloud (h) is given by
`(h)/(s)=sintheta, h=s sin theta =330xx8 sin 30^(@)`
`=330xx8xx(1)/(2)=1320m=1.32km`
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