The local county fair this summer has a challenge with a winning prize of $250. You have to throw a spear at an underwater target that is sitting 1 meter below the water's surface in a water trough. The challenge is arranged such that you have to stand on a platform that places your eyes 3 m above the bottom of the trough (and therefore 3 vertical meters above the target). From your location, you see the target 30° below your horizon. At what angle below the horizontal should you throw the spear to directly hit the target? Assume your throw travels in a straight line.

The local county fair this summer has a challenge with a winning prize of $250. You have to throw a spear at an underwater target that is sitting 1 meter below the water's surface in a water trough. The challenge is arranged such that you have to stand on a platform that places your eyes 3 m above the bottom of the trough (and therefore 3 vertical meters above the target). From your location, you see the target 30° below your horizon. At what angle below the horizontal should you throw the spear to directly hit the target? Assume your throw travels in a straight line.

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