An aeroplane at an altitude of 900 m finds that two ships are sailing towards it in the same direction. The angles of depression of the ships, as observed from the plane, are 60° and 30° respectively. Find the distance between the ships.
Heights & Distances
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Question

An aeroplane at an altitude of 900 m finds that two ships are sailing towards it in the same direction. The angles of depression of the ships, as observed from the plane, are 60° and 30° respectively. Find the distance between the ships.

Heights & Distances

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KnowledgeBoat · Accepted Answer

Let A be the position of the aeroplane and B be the point on the sea surface vertically below the plane. Let C and D be the positions of the two ships. Let AB be the altitude of the aeroplane = 900 m BC = y meters and CD = x meters In ∆ABC, In ∆ABD, Subtracting equation (1) from (2), we get : (x + y) - y = x = x = 600(1.732) x = 1039.20 m. Hence, the distance between the ships = 1039.20 m

Mathematics

An aeroplane at an altitude of 900 m finds that two ships are sailing towards it in the same direction. The angles of depression of the ships, as observed from the plane, are 60° and 30° respectively. Find the distance between the ships.

Heights & Distances

Related Questions

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