A ball is projected from the ground at an angle of $45^{\circ}$ with the horizontal surface. It reaches a maximum
height of 120 m and returns to the ground. Upon hitting the ground for the first time, it loses half of its
kinetic energy. Immediately after the bounce, the velocity of the ball makes an angle of 30 with the
horizontal surface. The maximum height it reaches after the bounce, in metres, is ___________.
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