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# One of the contests at the school carnival is to throw a spear

One of the contests at the school carnival is to throw a spear at an underwater target lying flat on the bottom of a pool. The water is 1.6 m deep. You're standing on a small stool that places your eyes 4.0 m above the bottom of the pool. As you look at the target, your gaze is 34° below horizontal. Your raised arm brings the spear point to the level of your eyes as you throw it, and over this short distance you can assume that the spear travels in a straight line rather than a parabolic trajectory.

At what angle below the horizontal should you throw the spear in order to hit the target?
In a double or nothing play, the pool is partially covered by a sheet and the target repositioned under the sheet. A mirror is placed on the wall on the other side of the pool (2.0 m from where you stand). When you look at the target in the mirror your gaze is 15° below the horizontal. Do you take the double or nothing challenge, and if so at what angle should you throw it to win (you can assume that the spear will easily penetrate the sheet)?
Hi,