Anil looked up at the top of a lighthouse from his boat, and found the angle of elevation to be 30 ∘ . After sailing in a straight line 50 m towards the lighthouse, he found that the angle of elevation changed to 45 ∘ . Find the height of the lighthouse. Options: A . &nbsp 25 B . &nbsp 25 √ 3 C . &nbsp 25( √ 3 - 1) D . &nbsp 25( √ 3 + 1)

Answer: Option D : D Now since tan 45 = 1,BC=DB=x Also, tan 30 = 1 √ 3 = x 50 + x Thus x( √ 3 - 1) = 50 or, x = 25( √ 3 + 1)m

Anil looked up at the top of a lighthouse from his boat, and found the angle of

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