The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?
20√3 m
The angle of depression from the top equals the angle of elevation from the ship.
tan 30° = height / distance = 20 / d → d = 20 / tan 30° = 20 / (1/√3) = 20√3 m.
So the ship is 20√3 m from the foot of the lighthouse.
Hence, 20√3 m.
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