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Use trigonometry and the tangent ratio:

tan = opp/adj and when rearranged adj (the ship's distance) = opp/tan

adj = 30/tan(6) = 285.4309336

Therefore the ship is just over 285 feet from shore.

Remember that the angle of depression is the same as the angle of elevation because they are alternate angles.

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Q: How far from shore is a ship when a coastguard sights it at an angle of depression of 6 degrees on a 30 feet vertical cliff?
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