if the angle of elevation of a cloud from a point h metres above a lake is alpha and the angle of depression of its reflection in the lake is bita. what is the distance of cloud from the point of observation.

Hi!
Here is the answer to your query.
 
The given information can be represented diagrammatically as:
 
 
In this figure A is and C are the positions of the point of observation and the cloud respectively.
Let the distance between the point of observation and the cloud (AC) be x m.
 
 
 
Hope! You got the answer of your query.
Cheers!

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 First of all draw a diagram,

Write tan alpha and tan beta in terms of sides of triangle and then substitue the common side..ultimately after solving you will get

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