One, missile travelling parallel to the surface of the Land with speed of 180m/s

A missile travels parallel to the surface of Earth at a height of 4500 m with speed $180\text{ m/s}$ . At time zero, it runs out of fuel just as it passes over a cannon. At this instant, the cannon goes off $45^\circ$ and reaches the missile. Determine the height of the position of meeting of the missile with the bullet of the cannon, in relation to the ground.

Assumptions and Details

• Ignore wind resistance.
• $g$ = 10 m/s $^2$ .