A student is standing on a 27 m diving platform from the ground. On the ground, their coach is on their left and their classmates on their right. The coach looks up to the student at an angle of 45 degrees with the ground, while their classmates are looking at the student at an angle of 30 degrees with the ground. If the angle at the base of the platform, between the coach and classmates is 150 degrees, what is the exact distance between the coach and the

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