Two ships are sailing on the sea on either side of the lighthouse.The angle of the depression of the ship as observed from the lighthouse are 60o and 45o respectively.If the distance between the ship is 200(root 3 +1)/root 3 metre,find the height of the lighthouse.


Let A and B be the positions of the ships on either side of the light house.

AB = 

Let BD = x m

∴ AD = AB – BD 

Let the height of the light house be h m.



From (1) and (2) we get

From (1) we have

Thus, the height of light house is 200 m.

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