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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