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 If the angle of elevation of a cloud from a point 60 metres above a lake is 30o and the angle of depression of its reflection in the lake is 60°, then the height of the cloud above the lake is​

  • a)
    30 m

  • b)
    120 m

  • c)
    200 m

  • d)
    500 m

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the angle of elevation of a cloud from a point 60 metres above a la...
Let AB be the surface of the lake and P be the point of observation such that AP = 60 m. Let C be the position of the cloud and C be its reflection in the lake.
Then CB = 
Draw PM⊥CB
Let CM = h
∴ CB = h + 60 m

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If the angle of elevation of a cloud from a point 60 metres above a la...
The angle of depression is always equal to the angle of elevation when an object and its reflection are seen from the same point. Therefore, the angle of depression of the cloud's reflection in the lake is also 30 degrees.
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