From the top of a cliff, 50 m high, the angle of depression of a buoy is 30°. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff.
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Question

From the top of a cliff, 50 m high, the angle of depression of a buoy is 30°. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff.

KnowledgeBoat · Accepted Answer

Let AB be the cliff. Let the distance of the buoy from the foot of the cliff be d (BC). Then, AB (h) = 50 m From figure, Angle of Elevation ∠ACB = Angle of Depression ∠CAD = 30° [Alternate interior angles] In triangle ABC, We know that, Hence, the distance of the buoy from the foot of the cliff 86.6 m.

Mathematics

From the top of a cliff, 50 m high, the angle of depression of a buoy is 30°. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff.

Heights & Distances

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