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$\text { An airplane is flying on a straight level course at } 200 \mathrm{~km} \mathrm{hour}^{-1} \text { at a height of } 1000 \mathrm{~m} \text { above the ground. An }$$\text { anti-aircraft gun located on the ground fires a shell with an initial velocity of } 300 \mathrm{~ms}^{-1} \text {, at the instant when }$$\text { the plane is vertically above it. At what inclination, to the horizontal, should the gun be fired to hit the }$$\text { plane? }$