from the top.of lighthouse, an observor loooks at the ship and find the angle of depression to be 60degree. if tge height of lighthouse is 84m. then find the distance between lighthouse an ship.
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Let AB be the height of the lighthouse,
∴ AB = 84 metres [Given]
The point 'C' be the position of the ship,
∴ ∠ ACB = 60
tan 60= Opposite side of 60/ Adjacent side of 60
∴ tan 60= AB / BC
∴ √3 = 84/BC
∴ BC = 84/√ 3
∴ BC = (84/√3)× √3/√3
∴ BC = 48.49m
∴ The ship is 48.49 m away from the lighthouse.
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