Do it fast please

Dear student

Let AN be the surface of the lake and O be the point of observation such that OA = metres.

Let P be the position of the cloud and P' be its reflection in the lake. 

Then, PN = P'N

Let OM ⊥ PN.

Given, ∠POM = α and ∠P'OM = β

Let PM = x

Then, PN = PM + MN = PM + OA = x + h

In rt. ΔOPM, we have

In rt.  ΔOMP', we have

From (1) and (2), we have

Height of the cloud = PN = x + h


Please recheck the proving part.


Regards

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