Do it fast please
Dear student
Regards
Let AN be the surface of the lake and O be the point of observation such that OA = h 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