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  4. A shot is fired from a point at a distance of 200 m from the foot of a tower 100 m high so that it just passes over it horizontally. The direction of shot with horizontal is

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Q. A shot is fired from a point at a distance of $200 \,m$ from the foot of a tower $100\, m$ high so that it just passes over it horizontally. The direction of shot with horizontal is

Motion in a Plane

Solution:

$H=100 \,m , R=2 \times 200=400 \,m$
$\tan \theta=\frac{4 H}{R} \Rightarrow \tan \theta=\frac{4 \times 100}{400}=1$
$\Rightarrow \theta=45^{\circ} \left[\because \frac{H}{R}=\frac{\tan \theta}{4}\right]$