Emily throws a soccer ball out of her dorm window to allison, who is waiting below to catch it.

Answer is:

6.778 meters. Explanation:

y = u t + 1/2 at²

6 m = u sinθ + 1/2 at²

6 m = (12) sin 30°t + 1/2 (9.81) t²

4.905 t² + 6 t - 6 = 0

By solving, t = 0.6522 s.

The horizontal distance:

x = u cosθ t

= (12) cos 30° (0.6522)

= 6.778 meters.