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An aeroplane is travelling at a height o...

An aeroplane is travelling at a height of 2000 m from the ground. The aeroplane, when at a point P, drops a bomb to hit a stationary target Q on the ground. In order that the bomb hits the target, what angle `theta` must the line PQ make with the vertical? `[g=10 ms^(-2)]`

A

`45^(@)`

B

`30^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Let t be the time taken by bomb to hit the target.
`h = 2000 = (1)/(2) g t^(2) rArr t = 20s`

`R = ut = (100) (20) = 200m`
`:' tan theta = (R)/(h) = (2000)/(2000) = 1 rArr theta = 45^(@)`
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