Mathematics
A man standing on a ship approaching the port towards the lighthouse is observing the top of the lighthouse. In 10 minutes, the angle of elevation of the top of the lighthouse changes from α to β. Then :
α > β
α < β
α = β
α ≤ β
Heights & Distances
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Answer
Let A be the top of the lighthouse, C the initial position of ship and D be the position after 10 minutes.
From figure,
tan α =
tan β =
Since, BC is greater than BD.
∴ tan α < tan β
⇒ α < β.
Hence, Option 2 is the correct option.
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