1.

A road runs between two parallel rows of buildings.A motorist moving just in the middle with a velocity of 30 km/h, sounds the horn. He hears an echo one second after sounding the horn. Find the distance (in metre) between thetwo rows of the buildings. The velocity of sound =330 m/s.

Answer»

Solution :Suppose 2 y is the distance between two rows of the buildings. The distance travelled by a CAR in 1 SECOND

`x=(30xx5/18)xx1=8.33m`
The distance travelled by sound in 1 second
`2l=330xx1=330m`
`:.l=165m`
From the figure `y=SQRT(l^(2)-(x/2)^(2))`
`=sqrt(165^(@)-(8.33/2)^(2))`
`=164.95m`
Thus the distance between two rows of the buildings `2y=329.9m`


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