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A ball is thrown from the ground to clea...

A ball is thrown from the ground to clear a wall 3 m high at a distance of 6 m and falls 18 m away from the wall. Find the angle of projection of ball.

A

`alpha = tan^-1 (1/3)`

B

`alpha = tan^-1 (2)`

C

`alpha = tan^-1 (2/3)`

D

`alpha = tan^-1 (2/4)`

Text Solution

Verified by Experts

The correct Answer is:
C

`y = x(1-x/R)tanalpha`

`:. tan alpha = (yR)/(x(R-x))`
`= ((3)(24))/((6)(18)) = 2/3`
`:. alpha = tan^-1 (2/3)`.
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