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This isn't really a homework question, but rather general interest.

I cam across a curious equation the other day,[tex]tan\alpha =\frac{a+b}{a}[/tex]

Where alpha is the launch angle of the projectile b is the height of the platform its being shot onto and a is the distance from the launch to the platform.

For example if you where playing golf and trying to hit the ball over a 1m high fence which was 5m away b=1 and a=5.

I was wondering if anyone knew the proof to this equation, i cannot find it anywhere.

It is not exact but it is a very very close approximation.

Thanks everyone.

I cam across a curious equation the other day,[tex]tan\alpha =\frac{a+b}{a}[/tex]

Where alpha is the launch angle of the projectile b is the height of the platform its being shot onto and a is the distance from the launch to the platform.

For example if you where playing golf and trying to hit the ball over a 1m high fence which was 5m away b=1 and a=5.

I was wondering if anyone knew the proof to this equation, i cannot find it anywhere.

It is not exact but it is a very very close approximation.

Thanks everyone.

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