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The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?
  • a)
    45 m
  • b)
    30 m
  • c)
    103.8 m
  • d)
    94.6 m
  • e)
    100 m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The angle of elevation of the top of a lighthouse 60 m high, from two ...

Let BD be the lighthouse and A and C be the two points on ground.
Then, BD, the height of the lighthouse = 60 m
∠BAD = 45°, ∠BCD = 60°


Distance between the two points A and C
= AC = BA + BC
= 60 + 34.6 [∵ Substituted value of BA and BC from (i) and (ii)]
= 94.6 m
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