From the top of a 30 m high cliff, the angle of depression of a boat is 30°. Find the horizontal distance of the boat from the foot of the cliff.
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Question

From the top of a 30 m high cliff, the angle of depression of a boat is 30°. Find the horizontal distance of the boat from the foot of the cliff.

G1 Physics · Accepted Answer

The angle of elevation from the boat is 30°. If horizontal distance is x, tan30°=30/x. Thus 1/√3=30/x, so x=30√3 m.