Projectile Launched From a Shell

A shell is launched at \(150\text{ m/s}\) 53 degrees above the horizontal. When it has reached its highest point, it launches a projectile at a velocity of \(100\text{ m/s}\) 30 degrees above the horizontal relative to the shell. Let \(x\) be the maximum height in meters above the ground that the projectile reaches. Find \(\left \lfloor \dfrac{x}{100} \right \rfloor\).

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