Looking down from the edge of a 20-meter high cliff, the angle to a boat on the water is 60° below the horizontal. What is the horizontal distance between the boat and the cliff's bottom?
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Correct answer: B
Explanation
Height of the cliff = 20 meters
Angle of observation (angle of depression) = 60°
Vertical side = 20 m
Horizontal distance = x
tan 60° = 20 / x
√3 = 20 / x
x = 20 / √3
x = (20√3) / 3 meters