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A fighter plane is flying horizontally a...

A fighter plane is flying horizontally at an altitude of 1.5 km with speed `720 kmh^(-1)`. At what angle of sight (w.r.t horizontal) when the target is seen, should the pilot drop the bomb in order to attack the target? `(Take g=10ms^(-2))`

Text Solution

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Let the fighter plane drop the bomb at point O
Since `R="ut"=u sqrt((2h)/(g))`
And `tan theta =(h)/(R)=(h)/(usqrt((2h)/(g))=(sqrt((gh)/(2)))(1)/(u)`
`=(1)/(200) sqrt((10xx1500)/(2))=0.4330`
`therefore theta =tan ^(-1) (0.4330)=23.4^(@)`
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