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\(^2\).

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